the temperature at noon in los angeles on a summer day was 88 degrees fahrenheit. during the day, the temperature varies from this by as much as 7.5 degrees fahrenheit. write and solve an absolute-value inequality to find the range of possible temperature for that day.

|y+88|<7.5

y+88< 7.5
y< 80.5

Im not sure about the answer and im sorry if its wrong

88-7.5 <= x <= 88+7.5

| x-88 | <= 7.5

80.5 <= x <= 95.5

To find the range of possible temperatures for that day in Los Angeles, we can use an absolute value inequality. Let's assume the temperature at noon is represented by the variable "x".

The given information states that the temperature at noon was 88 degrees Fahrenheit and it can vary by as much as 7.5 degrees Fahrenheit throughout the day.

To represent this inequality, we can use the absolute value sign to express the difference between x and 88 as less than or equal to 7.5:

|x - 88| ≤ 7.5

To solve this absolute value inequality, we can split it into two separate inequalities and solve for each case:

1) x - 88 ≤ 7.5:

Adding 88 to both sides, we get:
x ≤ 88 + 7.5 = 95.5

2) -(x - 88) ≤ 7.5:

Multiply -1 to both sides and distribute the negative sign inside the absolute value, we get:
- x + 88 ≤ 7.5

Subtracting 88 from both sides, we get:
- x ≤ 7.5 - 88 = -80.5

Dividing through by -1 (which requires reversing the inequality sign), we get:
x ≥ -80.5

Therefore, the range of possible temperatures for that day in Los Angeles is -80.5°F ≤ x ≤ 95.5°F.