Question

You are planning what to do on the weekend. You have 20 hours of free time to hang out with friends and do homework. You plan to spend at most 3 hours doing homework and at least 5 hours hanging out. Write the system of inequalities (3) to show how you can spend your time.

Answer 1

Explanation:

Let x represent the hours spent on homework and y represent the hours spent hanging out with friends. The system of inequalities would be:
x≤3 (You plan to spend at most 3 hours doing homework).

y≥5 (You plan to spend at least 5 hours hanging out with friends).

x+y≤20 (You have a total of 20 hours of free time).

So, the system is:

1. x≤3
2. y≥5
3. x+y≤20
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