m = amount of money you receive
You need at least $40, so that means you need m = 40 or more
So which is the same as saying
. You flip both sides and also flip the inequality sign as well.
At the same time, your parents won't give you more than $50. So the largest m can get is m = 50. This means
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Combine and
to get the compound inequality
This represents all the possible values of m. We see that m can get as small as m = 40, or as large as m = 50, or anything in between.
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Answer: