What is a solution to the compound inequality 85 \leq17m\leq 136?

Question

What is a solution to the compound inequality 85
`\leq`17m
`\leq` 136?

Answer 1

Given:

The compound inequality is

`85\leq 17m\leq 136`

To find:

The solution of given compound inequality.

Solution:

We have,

`85\leq 17m\leq 136`

On dividing all sides by 17, we get

`(85)/(17)\leq (17m)/(17)\leq (136)/(17)`

`5\leq m\leq 8`

Therefore, the solution of given compound inequality is
`5\leq m\leq 8`. It can be written as [5,8].