Q:

A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

Accepted Solution

A:
Answer:Let  y represents the maximum variation in the level of chlorine,Given,Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.So, the standard level of chlorine = 1.75 + y or 3.25 - y⇒ 1.75 + y = 3.25 - y⇒ 2y = 5⇒ y = 2.5Thus, the standard level would be 2.5 ppm,If x represents the present level of chlorine,Then it would be lie within 1.75 ppm of 3.25 ppm.If the difference between x and standard level ≤  Maximum variation⇒ |x-2.5| ≤ 0.75Which is the required  absolute value inequality to represent this situation.b. If x = 1.0 ppm,Since |1.0-2.5|=1.5 which is not less than equal to 0.75,Hence, he should add more chlorine.Step-by-step explanation: