The heat in the house is set to keep the minimum and maximum temperatures (in degrees fahrenheit) according to the equation |x – 72.5| = 4. what are the minimum and maximum temperatures in the house? 72.5°f and 76.5°f68.5°f and 76.5°f70.5°f and 74.5°f72.5°f and 74.5°f

Therefore the minimum and maximum temperature in the house are 68.5°F and 76.5°F respectively

Step-by-step explanation:

Given the equation that relates the minimum and maximum temperature of heat of a house as;

|x – 72.5| = 4

Since the function at the left hand side is an absolute value, the equation can be expressed in two ways because the modulus function can either be a negative function (for minimum temperature) or positive function (maximum temperature).

The equation can be rewritten the following ways;

-(x-72.5) = 4 ...1 OR

x-72.5 = 4 ... 2

Solving equation 1 to get x;

-x+72.5 = 4

-x = 4-72.5

-x = -68.5

x = 68.5°F (minimum temperature)

Solving equation 2 for x;

x-72.5 = 4

x = 4+72.5

x = 76.5°F (maximum temperature)

Therefore the minimum and maximum temperature in the house are 68.5°F and 76.5°F respectively

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step-by-step explanation: