Answer:
[tex]7x\geq 175[/tex]
[tex]x\geq25\ hour[/tex]
Seth must work more than 25 hours per week
Step-by-step 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:
[tex]7x\geq 175[/tex]
Now we solve the inequality for the variable x.
Divide both sides of the inequality by 7
[tex]\frac{7}{7}x\geq \frac{175}{7}[/tex]
[tex]x\geq25\ hour[/tex]
Seth must work more than 25 hours per week
