I believe this answer to be correct. Just need to know.

-13<= 4x-2<=-1;
First equation:-13<=4x-2:
ADD 2 TO BOTH SIDES;
-13+2<=4X-2+2;
-11<=4X; DIVIDE BOTH SIDES BY 4;
X|-11/4<=X;

Second Equation: 4x-2<=-1
ADD 2 TO BOTH SIDES;
4X-2+2<=-1+2
4X<=1/4
X|X<=1/4

3 answers

that is what I got

Great thank you! :)

In this question, you are given the inequality -13 <= 4x-2 <= -1. You need to solve this inequality to find the range of values for x that satisfy it.

To solve this inequality, you need to work with the two separate inequalities within it.

First, let's consider the inequality -13 <= 4x-2. To isolate the variable x, you can add 2 to both sides of the inequality:

-13 + 2 <= 4x - 2 + 2

This simplifies to:

-11 <= 4x

Next, divide both sides of the inequality by 4 to solve for x:

-11/4 <= x

So, the first inequality can be written as x >= -11/4.

Now, let's consider the second inequality 4x-2 <= -1. Again, you can add 2 to both sides:

4x-2 + 2 <= -1 + 2

This simplifies to:

4x <= 1/4

To solve for x, divide both sides of the inequality by 4:

x <= 1/4

So, the second inequality can be written as x <= 1/4.

Combining the two inequalities, you find that:

-11/4 <= x <= 1/4

Therefore, the range of values for x that satisfy the original inequality -13 <= 4x-2 <= -1 is -11/4 <= x <= 1/4.