Question

1.6.AP-9

A family is comparing different car seats. One car seat is designed for a child up to and including 25 lb. Another car seat is designed for a child between 16 lb and 35

Ib. A third car seat is designed for a child between 25 lb and 95 lb, inclusive. Model those ranges with compound inequalities. Which car seats are appropriate for a

33-lb child?

The inequality for a child up to and including 25 lb is

(Simplify your answer. Type a compound inequality using x as the variable.)

Answer 1

a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95

b. The second and third car seats are appropriate for a 35 lb child.

Explanation:

a. Model those ranges with compound inequalities

Let x represent the car seat.

i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.

x ≤ 25

ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.

16 < x < 35

iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.

25 < x ≤ 95

b. Which car seats are appropriate for a 33-lb child?

Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.