Question

See question below. I am not sure how to set this up.

Answer 1

Answer and Explanation:

Let x represent the number of hours Sandy needs to work.

We can go ahead and set up the required inequality as shown below;

`150<10x+20<200`

Let's go-ahead and determine x by splitting the compound inequality above as shown below;

`\begin{gathered} 150<10x+20 \\ 150-20<10x \\ 130<10x \\ x>(130)/(10) \\ x>13 \end{gathered}`
`\begin{gathered} 10x+20<200 \\ 10x<180 \\ x<(180)/(10) \\ x<18 \end{gathered}`[tex]13We can see from the above that Sandy needs to work between 13 and 18 hours to be able to meet her goal.