A postage stamp is being designed with a height of 1 1/2 inches. The area must be no greater than 1 1/8 in². What is the solution to an inequality that describes the possible width of the stamp?
A)w ≤ 2 5/8 in
B)w ≤ 3/8 in
C)w ≤ 3/4 in
D)w < 3/4 in
C) w ≤ 3/4 in
To solve this problem, we need to find the width of the stamp in inches. We know that the area of a rectangle is given by the formula A = l * w, where A is the area, l is the length, and w is the width.
Given that the height is 1 1/2 inches and the area must be no greater than 1 1/8 in², we can set up the following inequality:
1 1/2 * w ≤ 1 1/8
Converting the mixed numbers to improper fractions, we get:
3/2 * w ≤ 1 + 1/8
3/2 * w ≤ 9/8
Multiplying both sides by 2/3 to solve for w, we get:
w ≤ 9/16
Therefore, the possible width of the stamp is w ≤ 3/4 in (Option C).