dante has at most $12 to spend on entertainment each week. so far this week, he spent $7.50. Write and solve an inequality to determine how much money dante can spend on entertainment the rest of the week.

7.50 + x < 12

To solve this problem, we need to represent the amount of money Dante can spend on entertainment for the rest of the week using an inequality.

Let's assume the amount of money Dante can spend on entertainment for the rest of the week is "x" dollars.

We know that Dante has at most $12 to spend on entertainment each week, and so far he has already spent $7.50. This means that the total amount he can spend for the rest of the week should be less than or equal to the difference between $12 and $7.50.

Therefore, the inequality representing the amount of money Dante can spend on entertainment the rest of the week is:

x ≤ 12 - 7.50

Now let's solve the inequality to find the maximum amount Dante can spend for the rest of the week:

x ≤ 4.50

So, Dante can spend at most $4.50 on entertainment for the rest of the week.