Question

A family is comparing different car seats. Model those ranges with compound inequalities. Which car seats are appropriate for a 37-lb child? Option 1: Car seat designed for a child up to and including 36 lb. Option 2: Car seat designed for a child between 18 lb and 40 lb. Option 3: Car seat designed for a child between 36 lb and 90 lb, inclusive. Option 4: Car seat designed for a child between 18 lb and 90 lb.

Answer 1

To determine which car seats are appropriate for a 37-lb child, we can model the weight requirements for each option as compound inequalities and check which options include 37 lbs within their specified weight ranges.

Option 1: Car seat designed for a child up to and including 36 lb.

This option is not suitable for a 37-lb child since it only supports children up to 36 lbs.

Inequality: Weight ≤ 36 lbs

Option 2: Car seat designed for a child between 18 lb and 40 lb.

This option is appropriate for a 37-lb child since 37 lbs falls within the range of 18 lb to 40 lb.

Inequality: 18 lb ≤ Weight ≤ 40 lbs

Option 3: Car seat designed for a child between 36 lb and 90 lb, inclusive.

This option is appropriate for a 37-lb child since 37 lbs falls within the range of 36 lb to 90 lb.

Inequality: 36 lb ≤ Weight ≤ 90 lbs

Option 4: Car seat designed for a child between 18 lb and 90 lb.

This option is appropriate for a 37-lb child since 37 lbs falls within the range of 18 lb to 90 lb.

Inequality: 18 lb ≤ Weight ≤ 90 lbs

So, options 2, 3, and 4 are all appropriate for a 37-lb child.

Step-by-step explanation: