The school auditorium has 900 seats. the inequality x y <=900, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality? a. the ordered pair is in the shaded region of the graph of the inequality. b. the context of the problem allows only integer solutions. c. the x-value is equal to the y-value. d. the ordered pair is on the boundary line of the graph of the inequality.

Question

Mathematics

Blackburn

24 January, 09:32

The school auditorium has 900 seats. the inequality x y <=900, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality? a. the ordered pair is in the shaded region of the graph of the inequality. b. the context of the problem allows only integer solutions. c. the x-value is equal to the y-value. d. the ordered pair is on the boundary line of the graph of the inequality.

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Kira Elliott · Answer 1

The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.

Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.