the heat in the house is set to keep the minimum and maximum temperatures (in degrees fahrenheit) according…
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?\n72.5°f and 76.5°f\n68.5°f and 76.5°f\n70.5°f and 74.5°f\n72.5°f and 74.5°f
Answer
Explanation:
Step1: Recall absolute - value equation rule
If (|a| = b) ((b\geq0)), then (a = b) or (a=-b). So for (|x - 72.5|=4), we have (x - 72.5=4) or (x - 72.5=-4).
Step2: Solve (x - 72.5 = 4)
Add 72.5 to both sides: (x=4 + 72.5=76.5).
Step3: Solve (x - 72.5=-4)
Add 72.5 to both sides: (x=-4 + 72.5 = 68.5).
Answer:
B. (68.5^{\circ}F) and (76.5^{\circ}F)