Angie is saving money to buy a new tennis racket that costs $138. She has saved $46 so far. If Angie saves $14 each week, what is the least number of weeks, w, that she will have to save to buy the racket? Write an inequality to describe the situation. Use the inequality to solve the problem.

46+14w≥138 subtract 46 from both sides

14w≥92 divide both sides by 14

w≥6.57

If we are to assume that she saves the $14 at one time per week, w, weeks must be an integer value, so she won't have saved enough until:

w≥7

So she must save for at least 7 weeks in order to be able to purchase the racket.