Question

Solve the inequality.
6 (x/2+4)>9

Answer 1

Answer is x > -5

fid comon demoninator

Answer 2

Answer: x>−5

Step-by-step explanation:

$6(\frac{x}{2} +4) > 9$

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

$\frac{x}{2} +4 > \frac{9}{6}$

Reduce the fraction    

$\frac{9}{6}$

 to lowest terms by extracting and canceling out 3.

$\frac{x}{2} +4 > \frac{3}{2}$

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

x+8>3

Subtract 8 from both sides.

x>3−8

Subtract 8 from 3 to get −5.

x>−5