What is the solution set for −4x−5<31 ?(1 point)Responsesx<−9x<−9x<−9x<−9x>−9x>−9x is greater than negative 9x>9x>9x is greater than 9x<9

Answer 1

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

Adding 5 to both sides of the inequality, we have:

−4x < 31 + 5

Simplifying, we get:

−4x < 36

Now, dividing both sides of the inequality by -4 while flipping the inequality sign, we have:

x > 36 / -4

Simplifying further, we have:

x > -9

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