Chapter 3.6, Problem 32P

A family is comparing different car seats. One car seat is designed for a child up to and including 30 lb. Another car seat is designed for a child between 15 lb and 40 lb. $A$ third car seat is designed for a child between 30 lb and $85\text{lb}$, inclusive. Model these ranges on a number line. Represent each range of weight using interval notation. Which car seats are appropriate for a $32-1b$ child?

To determine

To Calculate: The car seats are appropriate for a 32-lb child.

Answer to Problem 32P

Second and third car seats are appropriate for 32 lb child.

Explanation of Solution

Given information:One car seat is designed for a child up to 30lb including 30lb. Another car seat is designed for a child between 15lb and 40lb. A third car seat is designed for a child between 30lb and 85lb inclusive. Model these ranges on a number line and represent using interval notation.

Calculation:

Draw them on number line and write the seat in interval notation too.

Graph for One car seat design weight range on number line for 0lb to 30lb including 30lb.

  

Interval notation is (0,30]

Graph for second car seat weight range on number line for 15 lb to 40lb.

  

Interval notation is (15,40)

Graph third car seat weight range on number line for 30 lb to 85lb inclusive.

  

Interval notation is [30,85].

The 32lb lies in both second car seat interval and third car seat interval.

Conclusion: The second and third car seats are suitable.