Question

A store manager is accepting applications for part-time workers. he can hire no more than 14 people. so far,he has hired 9 people. write and solve an inequality to determine how many more people the manager can hire.

Answer 1

The manager already hired 9 people. Let $x$ be the number of people he still can hire. Since these people will add to the 9 he already hired, when the hiring campaign will be over he will have hired $9+x$ people. We know that he can't hire more than 14 people, so the number of people hired must be less than or equal to 14:

$9+x \leq 14$

If we subtract 9 from both sides, we have

$x \leq 14-9=5$

so, the manager can hire at most 5 other people