solve the inequality

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:
[tex]\large\boxed{g<34}[/tex]
Step-by-step explanation:
[tex]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[/tex]