What is the solution set for -4x - 5 < 31?

Answer 1

To solve the inequality, you need to isolate the variable x on one side of the inequality sign.

-4x - 5 < 31

First, add 5 to both sides to get rid of -5:

-4x < 36

Next, divide both sides of the inequality by -4. When you divide by a negative number, you need to flip the inequality sign.

x > 36 / -4

Simplifying the right side gives:

x > -9

So the solution set for the inequality is all real numbers greater than -9.