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

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?​

Step-by-step explanation:

Given

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

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

Solve for y

Recall that x represents the board's side length.

Since x will be situated inside the boarder, then.

Substitute

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

a

step-by-step explanation: