What is the solution set for −4x−5<31

Answer 1

To find the solution set for −4x−5<31, we can solve the inequality by isolating x.

First, we can add 5 to both sides of the inequality:
-4x - 5 + 5 < 31 + 5
-4x < 36

Next, divide both sides of the inequality by -4. Since we are dividing by a negative number, the inequality sign flips:
x > 36/(-4)

Simplifying further, we have:
x > -9

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