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

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 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

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.

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

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

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.

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:

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:

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

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)

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!

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

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

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:

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

Answers

Answer:

2x+4y=0

Step-by-step explanation:

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.

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:

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 :)

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

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)

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.

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:

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

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!

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.


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

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:

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

Answers

Answer:

Step-by-step explanation:

sorry can’t answer

Please help with this

Answers

Answer:

A

Step-by-step explanation:

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