What is the solution to the inequality |X-4 <3?
0 -7 O 1 X<-7 or x<-1
O x> 1 or x<7

Answers

Answer 1

Answer:

|X - 4| < 3 is equivalent to 1 < X < 7.

Step-by-step explanation:

Given

|X - 4| < 3

Required

Solution of the inequality

The options are not properly presented. However, I'll solve the question without considering the options.

To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).

Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form

-3 < X - 4 < 3

Add 4 through

4 - 3 < X - 4 + 4 < 3 + 4

1 < X < 7.

Hence, |X - 4| < 3 is equivalent to 1 < X < 7.


Related Questions


Find the area and the circumference of a circle with a diameter of 17cm

Answers

Answer:

Step-by-step explanation:

d = 17 cm

r = 17/2 = 8.5 cm

Circumference of circle = πd

                                       = 3.14 * 17

                                       = 53.38 cm

Area of circle = πr²

                       = 3.14 * 8.5 * 8.5

                       = 226.865 cm²

Math homework, don't get it please explan!

Answers

Answer:

-1/2

Step-by-step explanation:

The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!

a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line

Answers

Answer:

y-1=-2/3(x+9)

Step-by-step explanation:

y-1=-2/3(x-(-9))

y-1=-2/3(x+9)

Hello!

To write an equation for this line, you must follow these steps:

1. M= Slope (-2/3)
2. X1= -9
3. Y1= 1
4. First, take the equation y - y1 = m(x - x1)
5. Plug the values into the equation
6. Y - 1 = -2/3(x - (-9))
7. Change the sign
8. Y - 1 = -2/3(x +9)
9. Distribute the -2/3
10. Y - 1 = -2/3x - 6
11. Add 1 to both sides
12. Y = -2/3x - 5

This gives you a final answer of y = -2/3x -5 (note that this equation is in slope intercept form)

Hope this helps!

A stack of 12 bricks is 27 inches high. How high is each brick?

Answers

Answer: 2.25 inches

Step-by-step explanation:

27/12= 2.25

Please help with this

Answers

Answer:

A

Step-by-step explanation:

What is the mass of a 450 centimeter3 block of silicon if the density of silicon is 2.336 grams/centimeter3?

Answers

Answer: The mass is 1051.2 grams.

Step-by-step explanation:

x/450 =2.336

x= 450 * 2.336

x = 1051.2

Need help please owo with all of them

Answers

First one d second c and third one a

Answer:

d, c and a

Step-by-step explanation:

O///O

Convert radians to degrees. \frac{13\pi}{18}

Answers

Answer:

Step-by-step explanation:

sorry can’t answer

Mia made 5 pies. What fraction represents all of the pies?
5/10, 5/1, 5/5, 1/5

Answers

Answer:

5/5

Step-by-step explanation:

So imagine you have 1 pie, and its fresh out of the oven so its still hole, that makes it 1/1 or ! whole, the same with 5 because the pies are still whole and not eaten its 5/5

1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?

Answers

Answer:

The sniper shoot from 870.775 feet vertical distance.

Step-by-step explanation:

Refer the attached figure

Height of victim = AB = 4.5 ft.

Distance between tower and victim BC = 780 feet

The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]

Let DE be x

AB = CE = 4.5 feet

BC =AE = 780 feet

Height of tower = DE+CE=x+4.5

In ΔDAE

[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]

Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet

Hence  the sniper shoot from 870.775 feet vertical distance.

Will give brainliest answer

Answers

Answer:

d =13 cm

r = 6.5 cm

Step-by-step explanation:

The diameter is the distance across the circle, going through the center

d = 13 cm

The radius is 1/2 of the diameter

r = d/2 = 13/2 = 6.5 cm

Answer:

Radius is 6.5

Diameter is 13

Step-by-step explanation:

The diameter is the distance across the circle. The radius is half the distance across the circle.

Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13

Answers

Answer:

A)28.26

Step-by-step explanation:

4.5 * 2 = 99 * 3.14 = 28.26I hope you find this helpful.

Is the following transformation rigid motion, dilation, or neither?

(x, y)→(2x, 2y)

Answers

Answer:

rigid motion

Step-by-step explanation:

because is a isometric transformation

9am not sure9

What is the beat values of averages, such as mean, median, and mode, are known as

Standard deviation
Frequency table
Measures of center
Range?

Answers

Answer:

Standard deviation

Step-by-step explanation:

2x-3y=-2 y=-4x+2 can someone use substitution method for this question

Answers

Answer:

2x+4y=0

Step-by-step explanation:

what is the sum of -7 and its additive inverse?

Answers

Answer:

0

Step-by-step explanation:

An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0

Answer:

0

Step-by-step explanation:

Which ordered pair is a solution of y = x + 12? (9, 21) (24, 12) (–12, –24) (0, –12)

Answers

Answer:

(9, 21)

Step-by-step explanation:

(24, 12)


Because the y-inter is 12

What is the circumference

Answers

Answer:

Circumfrence is the distance around the circle. Sort of like a perimeter of a square.

Step-by-step explanation:

To solve the picture: the answer is 8 pi cm. The formula for circumference is C= 2pir, in which r is the radius. This means multiply the radius by 2 and then by pi. This is also known as C= dpi (d meaning diameter)

In AGHI, the measure of ZI=90°, GH = 69 feet, and HI = 21 feet. Find the measure of
LH to the nearest degree.
H
hs
69
21
I
G
Answer:
Type here to search
Submit Answer
BE
CI

Answers

Answer:

72

Step-by-step explanation:

what is the difference between - 21 and -8 on a number line?

Answers

the difference is 13

Answer:

They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.

Please can’t Gail this

Answers

Answer:

4

Step-by-step explanation: because you up four and move 1 so the answer is 4/1 but is simplified by 4

4 I think haven’t done in a while but rise over run is how I learned so -4/-1 simplified is 4

The difference between a and b is 12. The number a is 5 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of aand b?

Answers

Answer:

a+b=12

3b+5=a

Step-by-step explanation:

Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is picked without looking. Find the probability. Write the answer as a fraction.



P(greater than 5)



A.
5
9
5
9

C.
5
8
5
8

B.
3
8
3
8

Answers

Answer:

5/8.

Step-by-step explanation:

Prob( Card is > 5) = number of cards > 5 / total number of cards

= 5/8

Marcel converts the frequency table to a conditional relative frequency table by row. 4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0 Which value should he use for Y? Round to the nearest hundredth. 0.19 0.45 0.82 0.90

Answers

Answer:

0.19

Step-by-step explanation:

____ | <40 | 》40 | Total

< 30 | W | X | 1.0

》30 | Y | Z | 1.0

Total | 0.43 | 0.57 | 1.0

Since W, X, Y and Z are conditions frequency, they can't be negative

Therefore,

W and Y are both less than 0.43

X and Z are both less than 0.57

The only option less than 0.43 is 0.19 (for Y)

Answer:

0.19

Step-by-step explanation:

____ | <40 | 》40 | Total

< 30 | W | X | 1.0

》30 | Y | Z | 1.0

Total | 0.43 | 0.57 | 1.0

Since W, X, Y and Z are conditions frequency, they can't be negative

Therefore,

W and Y are both less than 0.43

X and Z are both less than 0.57

The only option less than 0.43 is 0.19 (for Y)

7)
Which expression is a SUM?

5(2 + 3)

8 x (6 + 3)

5(2) + 2(6 - 3)

(5 + 2) = (2 + 3)

Answers

Answer:

The answer is c.) 5(2)+2(6-3)

Step-by-step explanation:

This is an addition problem, because you are solving for the multiplied numbers added together.

5(2)+ 2(6-3)

10+(12-6)

10+6

= 16                     I hope this help :)

I need helpI need helpI need helpI need helpI need helpI need helpI need helpI need help

Answers

Answer:

2

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

2 negatives is a positive, so -(-1) is basically +1, therefor the equation is -4+1

ASAP! PLEASE HELP. What is the measure of BCD?

Answers

Answer:

(5x)°

Step-by-step explanation:

Vertical angles.

Please mark as Brainliest! :)

Have a nice day.

the sum of 17 and 3 times x

Answers

Answer:

C

Step-by-step explanation:

3 times x -> 3x

The sum of 17 and 3x -> 17+3x

Answer:

C.

17+3 times x

17+3x

when the x is next to  the 3 it means multiply

Step-by-step explanation:

What does the word ‘Denotation’ mean?

Answers

Answer: Depends on what your talking about so I'll give all 3 definitions.

Step-by-step explanation:

1.)The literal or primary meaning of a word, in contrast to the feelings or ideas that the word suggests.

-Used in a sentence- Beyond their immediate denotation, the words have a connotative power.

2.) When used in philosophy it means, the object or concept to which a term refers, or the set of objects of which a predicate is true.

3.) And, the last definition is, the action or process of indicating or referring to something by means of a word, symbol, etc.

Which linear function has the same y-intercept as the one that is represented by the graph?

Answers

The function shown is y=-2x+10

If we want the same y-intercept all we need to fo is change the slope.

For example, these are valid asnwers,

y=-3x+10

y=0.5x+10

y=10x+10

Answer:

y = 2x+10

Step-by-step explanation:

Other Questions
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290. State the correct conclusion Choose one detail you were surprised to hear the speaker say does not define "Me myself" (line 9) and write two or three sentences about why it surprised you. What was the first religions to come about? Which of the following would be considered an unhealthy reaction to an emotion?Taking a walk to cool off after getting into an argument with a teammateBTalking calmly to a friend about how her jokes are making you feel embarrassedCAsking your teacher for extra help after getting a bad gradeD Throwing food at your sister for making fun of you Which type of operating system is usually used in personal computers?A [blank] operating system is usually used in personal computers PLZ HELP IDK WAT TO WRITE GIVE ME SOME IDEAS ITS FOR MACBETH ESSAY Which descriptions are true of the function shown in the table? Check all that apply.QuadraticLinearRationalY= 5x+10Y=5x^2+10Y=5/x+10 What did the Haitian revolution involve?What was thriving in the French colony of Saint Domingue by the 1700s? Find the limit of the function by using direct substitution lim (x^2+8x-2) x-> 2 Which is considered the highest quality evidence? answer the question below in the image What is the value of q2 p2 for q = 4 and p = 2?O A. 2B. 4C. 8O D. 12E.14. What is motion ,terms used to measure motion ,examples etc Need Help This is my last day to submit assignments. Please only answer if you know how. Extremely very important and have to get my grade up). " In a response of 2 - 3 paragraphs, answer questions 1 - 4. ( Question 1: What are the beliefs of Creon, Antigone, and Haimon about laws? Compare and contrast. ( Question 2: What is the conflict of Antigone? ( Question 3: What is the theme of Antigone? ( Question 4: How does the conflict help develop the theme you identified? Be specific and use evidence from the text to support your answers. Suppose you are a farmer who just purchased 200 acres of land. You must address the local environmental and planning agencies with your farming practices before they will allow you to perform on the land how would you design the farming practices in a way that has the least negative impact on the environment Do you think genocide will happen again? Which of the following images represents an archipelago? A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats. Huldrych Zwinglis supporters, the Anabaptists, believed in what? 22. Find the perimeter of the square:28