Answer:
The minimum number of paintings Monica needs to sell is 4 to reach her goal.
Explanation:
Let
p-----> the number of paintings that Monica needs to sell
we know that
![140+15p\geq 200](https://img.qammunity.org/2020/formulas/mathematics/high-school/15pjtq7n27dj9gsbwb7p583m8ogh8vncf4.png)
Solve for p
Subtract 140 both sides
![15p\geq 200-140](https://img.qammunity.org/2020/formulas/mathematics/high-school/g5e5cqk54s1t2pu70cbjyub9uwwsq2pp59.png)
![15p\geq 60](https://img.qammunity.org/2020/formulas/mathematics/high-school/g5u7bnv23trgt9vy0tij0m9efzxn6610zl.png)
Divide by 15 both sides
![p\geq 60/15](https://img.qammunity.org/2020/formulas/mathematics/high-school/ddgojbs969uh9ml206sa6hj4zr2mtgq8sd.png)
![p\geq 4\ painting](https://img.qammunity.org/2020/formulas/mathematics/high-school/pmt3t71zxyzao4vv58z195a5mjk29i3ybl.png)
The minimum number of paintings Monica needs to sell is 4 to reach her goal.