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

Answer 1

To solve the inequality -4x - 5 < 31, we first need to isolate the variable x.

We can do this by adding 5 to both sides of the inequality:
-4x - 5 + 5 < 31 + 5
-4x < 36

Next, divide both sides of the inequality by -4, remembering to reverse the inequality because we are dividing by a negative number:
-4x / -4 > 36 / -4
x > -9

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