Question

For which of the following compound inequalities is there no solution? ​

Answer 1

(a)
`6m \le - 36` and
`m + 24 > 20`

Explanation:

Required

Which of a to d has no solution

(a)
`6m \le - 36` and
`m + 24 > 20`

We have:
`m + 24 > 20`

Sole for m

`m >20 - 24`

`m >-4`

`6m \le - 36`

Divide by 6

`m \le -6`

So, we have:

`m \le -6` and
`m >-4`

`m \le -6` implies that: m = -6,-7,-8,-9.....

`m >-4` implies that m = -3,-2,-1,0.....

Hence, there is no solution