Question

Please solve the following inequality: 6 < 2(3-m) < 18

Give me a step by step and if it’s no solution tell me why :)

Answer 1

-6 < m < 0

Explanation:

`6 < 2(3-m) < 18`

We are finding solutions of m that make the inequality true

`6 < 6-2m < 18`

The expression 6 - 2m has to be greater than 6 but less than 18

`6-2m=7,8,9,..17`

possible solutions of m can be -1, -2, -3, -4 and -5

We can rewrite this as -6 < m < 0 since m is less than 0 but greater than -6