The inequality to represent this situation is |x - 76| < 5.
The temperature of her house is set at 76° Fahrenheit. The temperature might vary at 5 degrees. This simply means the temperature might increase by 5 degrees or decrease by 5 degrees.
Therefore, the inequality to represent this situation can be represented below:
|x - 76| < 5
-5 < x -76 < 5
add 76
-5 + 76 < x -76 + 76 < 5 + 76
71 < x < 81
Therefore, the inequality to represent this situation is |x - 76| < 5.
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