The inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 represent the scenario provided option (A) is correct.
What is inequality?
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
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It is given that:
Greg sells the T-shirts for $7 each and the shorts for $14.
Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts
Let s is the number of shorts
Let t is the number of t-shirts
We can formulate the inequality based on the data provided:
s ≥ 12 - t
s ≤ 22 - t
0.25t + s ≤ 15
s ≥ 0; t ≥ 0
Thus, the inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 representing the scenario provided option (A) is correct.
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