Question

. Solve the inequality. q + 12 – 2(q – 22) > 0 q > –32 q > 56 q < –32 q < 56

Answer 1

D: q < 56

Explanation:

Answer 2

Given:

The inequality is

`q+12-2(q-22)>0`

To find:

The solution of the given inequality.

Solution:

We have,

`q+12-2(q-22)>0`

It can be written as:

`q+12-2q+44>0`

`(q-2q)+(12+44)>0`

`-q+56>0`

Subtract 56 from both side.

`-q>-56`

Multiply both sides by -1 and change the inequality sign.

`q<56`

Therefore, the correct option is D.