Question

[5.02] Choose the correct description of the graph of the compound inequality

x - 2 > -4 and 3x less than or greater to 15
Select one:
a. A number line with an open circle on -2, shading to the left, and a closed circle on 5, shading to the right.
b. A number line with a closed circle on -2, shading to the left, and an open circle on 5, shading to the right.
c. A number line with an open circle on -2, a closed circle on 5, and shading in between.
d. A number line with a closed circle on -2, an open circle on 5, and shading in between.

Answer 1

So the inequalties are x-2>-4 and 3x<=15?

Answer 2

Yea

Answer 3

ok so first thing do you know how to tell when the endpoints are open and closed

Answer 4

By endpoints i mean circles

Answer 5

oh yes they are

Answer 6

I might be a little confused

Answer 7

That is ok. you know when a circle is closed or open by looking at the symbols. If an equation is:
> the circle is open
< the circle is open
>= the circle is closed
<= the circle is closed.

Answer 8

ok i get it now

Answer 9

ok so by looking at the two equations given in the question are their circle open or closed?

Answer 10

Closed

Answer 11

The circle is closed for 3x<=15 but open for x-2>-4

Answer 12

The second part closed the first part open

Answer 13

?

Answer 14

Yes

Answer 15

WE have one more step if you dont have any question about what we just did

Answer 16

no i dont

Answer 17

ok so now we get to solve for x which is the point where the circle lies on the number line.

Answer 18

ok

Answer 19

So we will start with x-2>-4 What do you think is the first step

Answer 20

add 2 on each side

Answer 21

x>-2

Answer 22

yes exactly!!!

Answer 23

Yay ok i think i can do the other side
I started to solve it wrong, but i have other questions i need help, can you still help me?

Answer 24

yes I can still help

Answer 25

ok thank you brb now i got to go finish this problem

Answer 26

ok good luck

Answer 27

I am going through the problems to see if i need help i might need help on one but i am trying to solve it

Answer 28

@Rea201 I need help selecting the right answer i have the correct but idk which one is incorrect

Answer 29

ok So we know that the first inequality has an open circle at -2 and x is greater that to so shading is to the right. For the second inequality the circle is closed at 5 and shading is to the left.

Answer 30

C is the correct answer

Answer 31

Its for a different problem
for the one that you helped me i choose A.

Answer 32

oh ok

Answer 33

Here is the problem:
I choose D
[5.01] Which of the following is not a way to represent the solution of the inequality 3(2x - 1) greater than or equal to 4(2x - 3) - 3?
Select one:
a. x less than or greater to 6
b. 6 greater than or equal to x
c. A number line with a closed circle on 6 and shading to the left.
d. A number line with a closed circle on 6 and shading to the right.

Answer 34

ok give me one sec to look it over

Answer 35

ok

Answer 36

ok so by solving we get x>=6. We could say thta 6 is greater than or equal to x. If shown on a number line the shading would go to the right

Answer 37

ok Thank you for all your help i really appreciate it. That is it on my questions!

Answer 38

ok Your welcome anytime!! Oh and can you give me a medal

Answer 39

I wanted to do that but idk how but now i do

Answer 40

ok so whenever you are in question there is a blue button that says best answer just click on that. You can only give one best anser per question

Answer 41

Thanks