You work and make $42 an hour. You also spend $75 on essential items. If you want to make at least $260 a day which inequality describes how many hours you would have to work?

x ≥ 9

x ≥ 8

x ≥ 7

x ≥ 6

Answer: x ≥ 8

Step-by-step explanation: Let x = per hour.

42x - 75 ≥ 260

The inequality above states that you will make $42 per hour, but you will need to spend $75 on other items, but you want to make at least $260 or more per day. Now to find the amount if hours you will need to work per day to make at least $260 we will solve for x.

42x - 75 + 75 ≥ 260 + 75

42x ≥ 335

42x/42 ≥ 335/42 335/42 = about 8

x ≥ 8

So, the inequality x ≥ 8 represents how many hours a day you would have to work to make at least $260 a day or more.

I agree the answer is x ≥ 8