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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

Respuesta :

Lauren1176
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

The absolute value inequality to find the range of possible temperatures for that day will be 80.5  ≥  x  ≤ 95.5

Based on the information given, we've to know the value of the lowest temperature and the highest temperature which will be:

Lowest temperature = 88°F - 7.5F = 80.5° F

Highest temperature = 88°F + 7.5°F = 95.5°F

Therefore, the absolute value inequality to find the range of possible temperatures for that day will be 80.5  ≥  x  ≤ 95.5

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