-3 < -x -2 < 4

Question

I know how to solve inequalities, I just don't know how to make x a positive number. could someone help me out?

Answer 1

-3 < -x -2 < 4
add 2 to each part
-1 < -x < 6
divide each part by -1, remember when dividing or multiplying by a negative the inequality sign has to be reversed.
1 > x > -6
or, turning it around
-6 < x < 1

Answer 2

ohh thank you so much! I was confused how to do that, thank you for the explanation.

Answer 3

-3 < -x-2 < 4.
Add 2 to all sides and get:
-1 < -x < 6,
Multiply all sides by -1 and get:
1 > X > -6. Reversed inequality signs.