Solve: - 4 < - 2x < 10

Answer: - 5 < x < 2

Explanation:

The expression - 2x means - 2 times x. To undo this, we divide all parts of the inequality by - 2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"

-4 < - 2x < 10

-4 / (-2) > x > 10 / (-2) ... inequality signs flip

2 > x > - 5

-5 < x < 2

This unknown number x is between - 5 and 2. It cannot equal - 5. It cannot equal 2.