Jasmine played outside today. She asked her mother if she could play outside tomorrow. Her mother said she could play outside only if the difference between today's temperature and tomorrow's temperature is less than 10 degrees. If today's temperature was 93, what is the range of temperatures that would allow Jasmine to play outside tomorrow?

83° to 103°

Explanation:

Given

Temperature = 93°

Difference = 10°

Required

Determine the range of temperature

Represent the range of temperature with x.

This will be answered using concept of absolute values

The expression that calculates the range is as follows.

|x - Temp| = Difference

Substitute values for each

|x - 93| = 10

The above can be split to:

x - 93 = -10 or x - 93 = 10

Solve for x

x = 93 - 10 or x = 93 + 10

x = 83 or x = 103

Hence, the range is

83° to 103°

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