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?

Verified Answer :

Answer:

\(\left|a-16\right|\le2\)

Step-by-step explanation:

we know that

The midpoint between 14 and 18 is equal to

\(\frac{14+18}{2}=16\)

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

\(\left|a-16\right|\le2\)