inequality to this problem

Question

Your monthly budget allows you to spend at most $2500 per month. Write an inequality for the amount of money you can spend per month. Have you kept within your budget during a month in which you spent $2575?

Answer 1

Let x be the amount of money that was spent. The statement ‘I can spend at most $2500 per month’ can be written in symbols as x ≤ 2500. Now to check if the month where $2575 was spent was within the budget, substitute the $2575 into the inequality and see if it is true:

2575 ≤ 2500

This inequality is false because 2575 is greater than 2500, which means I spent more money than I budgeted.