Question

Solve for x. Show your work −4 ≤ 2 + 6 < 12

Answer 1

The inequality can be simplified to -5 ≤ x < 3, so the solution set is:

[-5, 3)

How to solve the inequality for x?

I assume that the inequality is something like:

-4 ≤ 2*x + 6 < 12

To solve this for x, we need to isolate the variable in one of the parts of the inequality.

To do that, we can perform the same operation in the 3 sides.

If first we subtract 6 in all the sieds of the inequality we get:

-4 - 6 ≤ 2*x + 6  - 6 < 12 - 6

-10  ≤ 2*x < 6

Now we can divide by 2, so we get:

-10/2  ≤ 2*x/2 < 6/2

-5 ≤ x < 3

So we can conclude that the solution set of that inequality is [-5, 3)

If you want to learn more about inequalities:

brainly.com/question/24372553

#SPJ1