Question

Mel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hours she has to work to have enough to buy the shoes is given by the inequality 10x + 45 > 120, where x is the number of hours she works.

Answer 1

120-45=75
10*8=80
80+45=125
so the answer would be 8

Answer 2

The solution for the inequality is x = (7.5,∞).

Mel needs to work more than 7.5 hours to buy a pair of shoes that costs $120.

Explanation:

10x + 45 > 120 //substract 45 in both sides of the inequality.

10x + 45 - 45 > 120 - 45

10x > 75

(10/10)x > 75/10 //divide by 10 both sides of the inequality.

x > 7.5