Question

The temp. inside your mother's deep freezer is set for -2 degrees F. The manufacturer guarantees the actual temperature will fall within 4 degrees F of the temp. to which the freezer is set. Write an inequality that can be used to describe this situation.

|t+2| < 4
|t-2| < 4

Answer 1

|t+2| < 4

Explanation:

If the temperature is set to -2 F and temperature will fall within 4 degrees F mean that actual temperature will be between 2 (-2 + 4) and -6 (-2 -4).

First inequality can be expanded as follows :

|t+2| < 4

-4 < t+2 < 4

-4 - 2 < t < 4 - 2

-6 < t < 2

Answer 2

an inequality that can be used to describe this situation is :
|t-2| < 4

-2 is the fall in temperature,whereas,the overall temperature should be less than 4.