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

1 answer

To solve the inequality, we need to isolate the variable x.

Starting with -4x - 5 < 31, we can begin by adding 5 to both sides of the inequality:

-4x - 5 + 5 < 31 + 5
-4x < 36

Next, we divide both sides of the inequality by -4. However, since we are dividing by a negative number, the inequality sign will flip:

-4x / -4 > 36 / -4
x > -9

Therefore, the solution set for the inequality -4x - 5 < 31 is x > -9.