Question

You order 1.5 pounds of turkey at the deli. You will accept the turkey if its weight is between 1.54 and 1.46 pounds. What absolute value inequality can be used to describe the tolerance of the weight of the turkey?

Answer 1

Given :

You order 1.5 pounds of turkey at the deli.

You will accept the turkey if its weight is between 1.54 and 1.46 pounds.

To Find :

What absolute value inequality can be used to describe the tolerance of the weight of the turkey.

Solution :

It is given that the weight cannot be less that 1.46 pounds.

So, mathematical equation is :

x ≥ 1.46 .....1 )

Also, weight cannot be greater than 1.54 pounds.

x ≤ 1.54 ......2)

Combining equation 1 and 2 we get :

1.46 ≤ x ≤ 1.54

Hence, this is the required solution.