Question

Solve the inequalities

g + 2 - 2 (g - 16) > 0

A. g > -30

B. g < -30

C. g > 34

D. g < 34

Answer 1

Your answer should be D. g < 34

Explanation:

Simply use the order of operations.

`g + 2 - 2 (g - 16) > 0\\g + 2 -2g + 32 > 0\\g-2g+2+32>0\\-g+34-34>0-34\\-g-1>-34/-1`

Remember, when dealing with a negative in an inequality, your sign will flip/change the opposite direction.

`g<34`

Answer 2

g + 2 - 2 (g - 16) > 0
g + 2 - 2g + 32 > 0
-g + 34 > 0
g < 34