Question

Solve the inequality. d/13 > -3

Please do not answer the question. Just explain how to solve it because i do not understand.

Answer 1

x < -39

Explanation:

d/13 is actually just 1/13d:

1/13d > -3

Then you multiply both sides by the reciprocal of 1/13 which is 13. You do this because you normally you would divide, but since you can't divide a fraction, you multiply by the reciprocal, which is just the flipped version.

13 × 1/13 > -3 × 13

It cancels out on one side, because you are multiplying by its opposite. Then you multiply 13 × -3. This is -39. But the thing is that, when you multiply or divide by a negative, you need to flip the inequality sign around.

x < -39