Question

You have $142.26 in a bank account. The bank requires you to have at least $30 in your account or else you are charged a fee. Write and solve an inequality that represents the amount you can write your next check for without being charged a fee.

Answer 1

$142.26 - x ≥ $30

x ≤ $112.26

Explanation:

Let the amount you can write on your next check without being charged a fee be x.

Given that you are to have at least $30 in your account or else you are charged a fee then

$142.26 - x ≥ $30

To solve, collect like terms

-x ≥ $30 - $142.26

-x ≥ -$112.26

x ≤ $112.26

Note that on dividing both sides by -1, the sign changes from greater than to less than.