Question

A family is comparing different car seats. One car seat is designed for a child up to and including 35 lb. Another car seat is designed for a child between 18 lb and 40

ib. A third car seat is designed for a child between 35 lb and 75 lb, inclusive. Model those ranges with compound inequalities.

Answer 1

0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb

Explanation:

Let the first car seat be A, the second car seat be B and the third car seat be C.

For the first car seat be A, the weight ranges from 0 to 35 lb inclusive. Since it is inclusive, we use the ≤ sign. So, the inequality is

0 ≤ A ≤ 35 lb

For the second car seat be B, the weight ranges from between 18 to 40 lb. Since it is between 18 lb and 40 lb, we use the inequality sign <. So, the inequality is

18 lb < B < 40 lb

For the third car seat be C, the weight ranges from between 35 to 75 lb inclusive. Since it is between 35 lb and 75 lb inclusive, we use the inequality sign < for the left side and ≤ for the right side. So, the inequality is

35 lb < C ≤ 75 lb.

So, the ranges are

0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb