-2w - 16 < 3w + 24

Answer 1

To solve this inequality, we need to isolate the variable w by performing algebraic operations.

First, let's move all the terms involving w to one side of the inequality:
-2w - 3w < 24 + 16

Next, we can combine like terms:
-5w < 40

To isolate w, we need to divide both sides of the inequality by -5. When dividing by a negative number, we also need to reverse the inequality sign:
w > 40 / -5

Simplifying further, we have:
w > -8

Therefore, the solution to the inequality is w > -8.