Sahil Khan
0

Given : T-shirts cost $14 and shorts cost$26. Assume variable x to be the cost of each t-shirt  and variable y to be the cost of each short. The inequality to represent this cost constraint is

14 x + 26 y \leq 180

He wants to buy at least 6 items. The inequality to represent the quantity constraint is x+ y \geq 6

The one possible combination of T-shirts and shorts that Cal could buy is 5 T-shirts and 2 shorts. This is because this combination or pair (5,2) will solve the above system of inequalities.

Check:

14 \cdot 5 + 26 \cdot 2 = 70 + 52 = 122 \lt 180 and,

5 + 2 = 7 which is greater than 6.