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Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?

User Sanan Guliyev
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1 Answer

19 votes
19 votes

Question:

Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?​

Answer:


image

Explanation:

Given


image

Required

Determine an inequality for x

Represent the side lengths of the border with y. So:

Since the border is on the 4 sides, then


image -- i.e. the perimeter of the border material

Solve for y


image


image

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.


image

Substitute
image


image

User Keatflame
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