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

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

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