Choose the correct description of the graph of the compound inequality:

3x + 2 > 5 and 3x ≤ 9

A number line with an open circle on 1, shading to the left, and a closed circle on 3, shading to the right
A number line with a closed circle on 1, shading to the left, and an open circle on 3, shading to the right
A number line with a closed circle on 1, an open circle on 3, and shading in between
A number line with an open circle on 1, a closed circle on 3, and shading in between

How many solutions does the following equation have?

|3x + 12| = 18
No solution
One solution
Two solutions
Infinitely many solutions

What is the solution for the equation 8x − 12 = 4x? x = ___.

3x + 2 > 5 3x < = 9
3x > 5 - 2 x < = 9/3
3x > 3 x < = 3
x > 3/3
x > 1

so we have x > 1 and x < = 3
u will have a open circle on 1...a closed circle on 3...with shading in between
================
| 3x + 12 | = 18

there will be 2 solutions
===============
8x - 12 = 4x
-12 = 4x - 8x
-12 = -4x
-12/-4 = x
3 = x

Answer Link

gorraricardezju gorraricardezju · Answer 2 · 2017-08-07T18:47:45+02:00

Hello Qwerty My Friend!

QUESTION 1:

[tex]3x+2\ \textgreater \ 5,and,3x,less,than,or,greater ==\ \textgreater \ ,\ \textless \ 9[/tex]

Now as seen, we have to then solve for x first.

So in Short, The Correct Answer would 100% be:

Option "B". A number line with a closed circle on 1, shading to the left, and an open circle on 3, shading to the right.

QUESTION 2:

The Correct Answer is that there will be 2 Solution's,

Therefore, Option "C".

QUESTION 3:

The Correct Answer would 100% be x=3

Subtract 4x to 8x leaving 4x. Then you add 12 to the other side:

4x=12

Now, you divide by 4 getting 3.

Therefore, The Correct Answer is x=3

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