According to the concept of inequality, the interval notation is 0 < x ≤ 30; 15 < x < 40; 30 ≤ x ≤ 85 based on these range the second and third car seats are suitable.
Inequality:
Inequality refers the non equal relation of the sets.
Given,
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 15 lb and 40 lb. A third car seat is designed for a child between 25 lb and 85 lb, inclusive. Model those ranges with compound inequalities.
Here we need to find in which car seats are appropriate for a 35-lb child
In this question, they provided that, there are three car seats are designed as follows:
First, on is the car seat made for children upto 30lb.
Second one is the seat for children between 15lbs and 40lbs and
And the third one is the seat designed for a child between 30 lb and 85 lb
Here we know that, the seat designed for a child upto and including 30 lb would not be suitable for 35 lb child. Because 35lb is more than the 30 lb.
So, now, the seat designed for a child between 30 lb and 85 lb, 30lbs and 85lbs would be suitable as the child is within these weight ranges that is 35lb.
Therefore, the interval notation is written as,
=> 0 < x ≤ 30; 15 < x < 40; 30 ≤ x ≤ 85;
So, the second and third car seats are suitable.
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