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;
[tex]150<10x+20<200[/tex]
Let's go-ahead and determine x by splitting the compound inequality above as shown below;
[tex]\begin{gathered} 150<10x+20 \\ 150-20<10x \\ 130<10x \\ x>\frac{130}{10} \\ x>13 \end{gathered}[/tex][tex]\begin{gathered} 10x+20<200 \\ 10x<180 \\ x<\frac{180}{10} \\ x<18 \end{gathered}[/tex][tex]13
We can see from the above that Sandy needs to work between 13 and 18 hours to be able to meet her goal.
