Question

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

Answer 1

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:

`x \le 18`

Explanation:

Given

`Border\ Material = 72`

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

`4y = 72` -- i.e. the perimeter of the border material

Solve for y

`y =(72)/(4)`

`y =18`

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

`x \le y`

Substitute
`y =18`

`x \le 18`