A jewelry artist is selling necklaces at an air fair. It costs $75 to rent a booth at the fair. The cost of materials for each necklace is $2. The artist is selling the necklaces at $7 each.

The inequality 7n > 75 + 2n represents the situation in which the artist makes a profit.

Will the artist make a profit if she sells 5 necklaces? Show how you know.


Solve the inequality to show the minimum number of necklaces, n, thr artist must sell to make a profit. Show your reasoning.