Question

Write a system of inequalities to represent the delivery service's requirements for mailing a package, where both the length and width of the packages must be 20 inches or less, and the sum of the length and width must be no more than 32 inches.

a) L ≤ 20, W ≤ 20, L + W ≤ 32
b) L ≥ 20, W ≥ 20, L + W ≤ 32
c) L ≤ 20, W ≤ 20, L + W ≥ 32
d) L ≥ 20, W ≥ 20, L + W ≥ 32

Answer 1

The correct system of inequalities is L ≤ 20, W ≤ 20, and L + W ≤ 32.

Step-by-step explanation:

The correct system of inequalities to represent the delivery service's requirements for mailing a package is option (a): L ≤ 20, W ≤ 20, and L + W ≤ 32.

This system of inequalities ensures that both the length and width of the packages are 20 inches or less, and the sum of the length and width does not exceed 32 inches.

For example, if we choose a length of 15 inches, the inequality L ≤ 20 is satisfied. If we choose a width of 10 inches, the inequality W ≤ 20 is satisfied. And if we add these values together (15 + 10 = 25), it is clear that the sum of the length and width (L + W) is less than or equal to 32.