Question

seth earns 7 per hour working at a library Write and solve the inequality that can be used to find how many hours he must work in a week to earn at least 175

Answer 1

`7x\geq 175`

`x\geq25\ hour`

Seth must work more than 25 hours per week

Explanation:

Let's call x the number of hours Seth works.

Then we know that Seth earns $ 7 for every hour. Then in x hours Seth wins:

7x

To earn more than 175 then we must ensure that:

`7x\geq 175`

Now we solve the inequality for the variable x.

Divide both sides of the inequality by 7

`(7)/(7)x\geq (175)/(7)`

`x\geq25\ hour`

Seth must work more than 25 hours per week