The temperature at noon in Los Angeles on a summer day was 88f during the day, the temperature varied from this by as much as 7.5f write and solve an absolute value inequality to find the range of possible temperatures for that day

The equation is:

|88 - x| < = 7.5

To solve:

1. Rewrite the inequality without the absolute value bars

-7.5 < = 88 - x < = 7.5

2. Subtract 88 from the whole equation

-7.5 - 88 < = - x < = 7.5 - 88

3. Simplify

-95.5 < = - x < = - 80.5

4. Multiply the whole equation by - 1

- (-7.5 - 88) > = - x > = - (7.5 - 88)

5. Simplify

95.5 > = x > = 80.5