How are the solution sets to s<3 and |s|<3 different ?

Answers

Answer 1

Answer:

The solution set for [tex]s<3[/tex] would be (-∞,3)

The solution set for [tex]|s|<3[/tex] would be (-3,3)

Step-by-step explanation:

The solution set for [tex]s<3[/tex] can be any number that is lower than 3.

When we have the inequality  [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer

[tex]|s|<3[/tex]

[tex]s<[/tex] ± [tex]3[/tex]

This can be be split into [tex]s<3, s<-3[/tex]

But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]

Now, we can combine these to get one inequality

[tex]-3<s<3[/tex]


Related Questions

what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?

Answers

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

hi what is the answer to c

Answers

I believe it should be 0.6mi/ m. Because 30/50=0.6

Math question down below

Answers

Answer: E. 2/3

Step-by-step explanation:

Division is the same thing as fractions. So 2 divided by 3 is the same thing as 2/3

Answer:

E.

Step-by-step explanation:

A) 3(1/2)= 3/2= 1 1/2 X

B) 3/1(2/3)= 6/3= 2 X

C) 2(3)= 6 X

D) 3/2= 1 1/2 X

E) 2/3= 2/3 lol

This would make it E

For this Prism to be a right prism, all the lateral faces must be rectangles. Is enough infromation given to prove the lateral faces are rectangles? Why or why not?

Answers

Answer:

No, there isn't enough information to prove that the lateral faces are rectangles

Step-by-step explanation:

What is a reasonable estimate for the volume of a number cube:
8 cm3, 27 in?, or 1 ft??

Answers

Answer:

I think the 8 cm one :D

Using Identity, find the value:
i) 203 x 205
Plss I NEED HELP!!! T^T

Answers

Step-by-step explanation:

203*205

(200+3)*(200+5)

200²+200(5+3)+15

40000+3000+15

403015

Can someone please help me with these problems?

Answers

Answer:

number 1 is 5 inches

Step-by-step explanation:

it fits in the 15 inches 3 times.

5*3=15

QUICK ILL GIVE YOU 20 POINTS
Paul weighs 36 kg. Felix weighs half as much as Paul, and Frank weighs 4 kg more than Felix.

Answers

Answer:

Idk what you need but here is everything possible

Step-by-step explanation:

Paul = 36kg

Felix = 18kg

Frank = 22kg

36+18+22=76

Their weight all together is 76kg.

Answer:

Paul is 36 kg

Felix is 18 kg

Frank is 22 kg

Step-by-step explanation:

Pauls answer is in the question (36kg)

Felix is half of paul 36/2=18

Frank is 4 kg more than Felix 36/2=18  18+4=22

Your drawer contains seven red socks and five green socks. It's too dark to see which are which. What is the
probability that the two socks that you pick are both red if you don't replace the first sock after you draw it?
7/24
7/12
7/15
14/35

Answers

Answer:

7/22

Step-by-step explanation:

Probability of picking a red sock the first time: 7/12

Probability of picking a red sock the second time: 6/11 (Since you already took out one sock, thus decreasing both the number of red and total socks in the drawer.)

7/12 * 6/11  = 42/132

42/132 = 7/22

What is the probability of rolling a die 6 times and getting the numbers 1, 2, 3, 4, 5, 6 in that order? Select the best answer from the choices provided.
A. 0.001389
B. 0.000129
C. 0.000021
D. 0.0000038

Answers

Answer:

C. 0.000021

Step-by-step explanation:

Each roll of the die is an independent event.

The probability of rolling a 1, then a 2, then a 3, then a 4, then a 5, then a 6 is the product of the 6 individual probabilities.

Probability of rolling a 1:

There are 6 possible outcomes, rolling 1, 2, 3, 4, 5, or 6.

There is one desired outcome, rolling a 1.

p(1) = 1/6

Probability of rolling a 2:

Similar to rolling a 1, there is 1 desired outcome,rolling a 2, out of 6 possible outcomes.

p(2) = 1/6

The same is true for rolling a 3, 4, 5, or 6. Each one has a probability of 1/6.

p(1, 2, 3, 4, 5, 6, in that order) = p(1) * p(2) * p(3) * p(4) * p(5) * p(6)

= (1/6)^6

= 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6

= 1/46,656

= 0.000021433

Answer: C. 0.000021

Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples.
The number of apples can be represented by the equation 2 – 6 = 36. Plot a point on the
number line to represent x, the number of apples Mariana picked.
39
40
43
41
42.
44
36
37
38
32
31
33
35
30
34

Answers

42 is the answer because 36 + 6= 42

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

a. A = 71.6°; C = 52.89; b =12.0

C. A = 68.6° C = 45.40; b=12.0

b. A = 71.6°; C = 45.40; b =15.0

d. A = 68.6°; C = 52.89; b=15.0

Answers

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

[tex]b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}[/tex]

[tex]b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}[/tex]

[tex]b \approx 15.022[/tex]

Angle A (Law of Cosine)

[tex]\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}[/tex]

[tex]\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}[/tex]

[tex]\cos A = 0.315[/tex]

[tex]A= \cos^{-1} 0.315[/tex]

[tex]A \approx 71.639^{\circ}[/tex]

Angle C (Sum of internal angles in triangles)

[tex]C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}[/tex]

[tex]C = 45.361^{\circ}[/tex]

Hence, the right answer is B.

Which of these are NOT expressions?
Check all that are true.

123

9 + 3 = 12

3(4x + 5)

6 − 5 − 4 = z

3z + 2x


HELP

Answers

Answer:

6-5-4=z

9+3=12

Step-by-step explanation:

Expressions has no equal sign

“9 + 3 = 12” and “3(4x + 5)”

At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?

A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph

Answers

Answer:

A

Step-by-step explanation:

The points (-16,r) and (-4,11)lie on a line with slope 1/2. Find the missing coordinate r?

Answers

Answer: The missing coordinate R is 5.

Step-by-step explanation:

11=1/2(-4) + B

11=-2 +B  

B= 13

B represents the y-intercept

so we will use the equation y=mx + B  and we know the slope and y intercept.

r= 1/2(-16) + 13

r= 5

The data below show the weights, in pounds, of a group of professional football players.
325, 310, 289, 288, 285, 285, 285, 280, 280, 273
The mean of the data set is 290 pounds. What is the mean absolute deviation of the data
set, to the nearest whole number?
26
18
11
5

Answers

Answer:

26

Step-by-step explanation:

The mean absolute deviation of the data is 11.

The mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values.

Given: The data below show the weights, in pounds, of a group of professional football players.

325, 310, 289, 288, 285, 285, 285, 280, 280, 273

The mean of the data set is 290 pounds.

How to find the mean absolute deviation of the data

set, to the nearest whole number?

The average absolute deviation is

[(325-290)+(310-290)+|(289-290)|+|(288-290)|+3|(280-290)|+21(280-290)|+|(273-290)|]/10

=> (35+20+1+2+5+5+5+10+10+17)/10

=> 11.

Learn more about mean on : https://brainly.com/question/16432219

#SPJ2

The ordered pair below is a solution to which equation?
(5,40)

Answers

Answer:

y = 8x

Step-by-step explanation:

a  y = 8x

 40 = 8*5

 40 = 40

This is a solution

top side is 6 just couldn’t fit in picture

Answers

Answer: [tex]6<z<18[/tex]

Step-by-step explanation:

Use the pythagorean theorem to find z first.

[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]

a = 12

b = 6

c = z

[tex]c=\sqrt{(12)^2+(6)^2}\\ c=\sqrt{144+36}\\ c=\sqrt{180} \\c=13.4[/tex]

z is greater than a and b

14. Given the lengths of the sides of a triangle, which of the following is a right
triangle
Triangle A: 10, 12, 15
Triangle B: 3,4,5
Triangle C: 7.8.9
Triangle D: 5. 12. 16

Answers

B (It's 90's degree triangle)
The answer is B. it’s a 90 degree

please help me it is math

Answers

Answer:

C is face

B is edge

A is vertex (where 2 or more points meet)

John recorded the weight of his dog Spot at different ages as shown in the scatter plot below.




Part A:
Write an equation that would describe the line of best fit.


Part B:
Using the line of best fit, make a prediction of Spot's weight after 18 months.

Answers

Answer:

A) y = 1.875x + 1.25

B) 35 pounds

Step-by-step explanation:

A) We need two points to define a line. To find an equation that would describe the line of best fit, we can use one of the first points and one of the last points. Let's use (2, 5) and (10, 20).

General equation of a line:

y = mx + b

Slope of the line:

m = (20 - 5)/(10 - 2) = 1.875

y-intercept is found replacing a known point and the slope into the general  equation:

5 = 1.875*2 + b

b = 5 - 1.875*2 = 1.25

The final equation is:

y = 1.875x + 1.25

where y represents weight (in pounds) and x represents age (in months)

B) At x = 18:

y = 1.875*18 + 1.25 = 35

A person standing on level ground is 2000 feet away from the foot of a 420-foot-tall building, as shown in the accompanying diagram. To the nearest degree, what is the value of X?

Answers

Answer:

12

Step-by-step explanation:

The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!

Find the area. Will mark brainliest.

Answers

Answer:

a = 70

Step-by-step explanation:

a = h * b / 2

a = 10 * 14 / 2

a = 140/2

a = 70

The slope intercept equation

Answers

Answer:

y=mx+b

Step-by-step explanation:

Hope this helps.

can anyone please help me☹​

Answers

Answer:

Look at the attachment

- sorry that it’s a bit messy, if you can’t read something let me know

Simplify: 327
A)
3
B)
4
0)
7
D)
8

Answers

You can’t simplify it because it’s a already a whole number.

HELP ME QUICK PLZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!

Answers

Answer:

I believe it’s 1/2

Step-by-step explanation:

Take a point on the graph and use rise over run method

Answer:

D. 5/8 pounds

Step-by-step explanation:

You can find the slope by picking a point such as (8,5).

Slope = rise over run.

(8,5) is 8 units right and 5 units up, thus the slope is 5/8

Hope this helps.

Which number is equal to 10 Superscript 4?
40
1,000
10,000
40,000

Answers

Answer: The answer is 10,000

Step-by-step explanation:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

(Your Welcome)

Answer:

10^4 is equal to 10,000

10^4 to the second power means that you have too add 4 zeros to the end of the number.

Since 10 already has a 0, you would add 3 more.

Therefore, the answer would be 10,000.

This graph shows a proportional relationship. (2/3, 3/4)


What is the constant of proportionality?

Answers

Answer: Hi! I'd love to help you but I'd need to see the graph.

Step-by-step explanation: Can you add a picture?

If the probability of a chance event is 0.67, it is less likely to happen
than which of the following probabilities of another chance event?
Select one:

0.76

0.61

0.65

0

Answers

Answer:

.76

Step-by-step explanation:

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