Question

At Jenna's dance studio, you must be between the ages of 14 and 18 to be in the senior company. Write this as an absolute value inequality with a as age?

Answer 1

`\left|a-16\right|\le2`

Explanation:

we know that

The midpoint between 14 and 18 is equal to

`(14+18)/(2)=16`

The distance of the midpoint to the endpoints of the interval is equal to 2

Let

a ----> the age

The absolute value that represent this problem is

`\left|a-16\right|\le2`