Question

What is the solution to the inequality -x/12 + 13 < 15?

a) x < -24
b) x > -24
c) x < -6
d) x > -6

Answer 1

The solution to the inequality -x/12 + 13 < 15 is x > -24, which corresponds to option b).

Step-by-step explanation:

To solve the inequality -x/12 + 13 < 15, first isolate the variable x on one side of the inequality.

1. Subtract 13 from both sides: -x/12 < 2.
2. Multiply both sides by -12 (remember to reverse the inequality sign when you multiply or divide by a negative number): x > -24.

This means the solution to the inequality is x > -24, corresponding to option b).