Question

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

Answer 1

Answer: x>−5

Explanation:

`6((x)/(2) +4) > 9`

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

`(x)/(2) +4 > (9)/(6)`

Reduce the fraction

`(9)/(6)`

to lowest terms by extracting and canceling out 3.

`(x)/(2) +4 > (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

Answer 2

Answer is x > -5

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