Question

Solve the inequality

Answer 1

g + 2 - 2(g - 16)

g+2-2g+32 > 0

-g+2+32 > 0

34-g > 0

-g > -34

g < 34

the answer is d. g < 34

Answer 2

`\large\boxed{g<34}`

Explanation:

`g+2-2(g-16)>0\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\g+2+(-2)(g)+(-2)(-16)>0\\\\g+2-2g+32>0\qquad\text{combine like terms}\\\\(g-2g)+(2+32)>0\\\\-g+34>0\qquad\text{subtract 34 from both sides}\\\\-g>-34\qquad\text{change the signs}\\\\g<34`