Question

Solve the compound inequality 2x > –10 and 3x < 24

5 > x > –8


5 > x < –8


–5 < x < 8


–5 < x > 8

Answer 1

I think it's the third option.

Answer 2

Answer: Third option is correct.

Explanation:

Since we have given that

`2x>-10---------------------------(1)`

and

`3x<24------------------------------(2)`

From eq(1), we have

`(2x)/(2)>(-10)/(2)\\\\x>-5`

From eq(2), we have

`3x<24\\\\(3x)/(3)<(24)/(3)\\\\x<8`

So, compound inequality becomes

`-5<x<8`

Hence, Third option is correct.