Solve the compound inequality: 3x + 6 < 12 AND 6x + 24 < 12

Question

asked Dec 18, 2021 135k views

1 Answer

ATD · Answer 1 · 2021-12-23T16:14:35+0000

Answer:

x < -2 .

Explanation:

It is given that
3x + 6 < 12 and
6x + 24 < 12 .

For
3x + 6 < 12 ,

3x < 12-6

3x < 6

Divide both sides by 2.

x < 2 ...(i)

For
6x + 24 < 12 ,

6x< 12-24

6x< -12

Divide both sides by 6.

x < -2 ...(ii)

From (i) and (ii), we get

$x < 2\text{ and }x<-2$

$\Rightarrow x<-2$

Therefore, the required answer is
.