Question

Solve the compound inequality 6b < 42 or 4b + 12 > 8​

Answer 1

-1 < b < 42

Explanation:

Given:

Condition 1:

6b < 42

Dividing both sides by 6 we get

b < 42

Condition 2:

4b + 12 > 8​

Subtracting 12 from both sides we get

4b + 12 - 12 > 8​ - 12

4b > -4

Dividing both sides by 4 we get:

b > -1

So combining both conditions, the compound equality will be:

-1 < b < 42

It depicts b is greater than -1 and smaller than 42.

I hope it will help you!