Question

A child must be at least 36 inches, but no more than 48 inches to ride. Write the compound inequality to represent the heights when a child CANNOT ride. Use x to represent the height of the child.

Answer 1

36≤x≤48

Explanation:

Let x represents the height of the child if a child must be at least 36 inches, this means that the child can has a height greater than or equal to 36in. This is expressed as;

x≥36

If the same child has height of no more than 48in, this can be expressed as;

x≤48

Combining both inequality

If x ≥36, this means 36≤x

Combining with x≤48 will give the compound inequality;

36≤x≤48