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 = 2.5
Thus, 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| ≤ 0.75
Which 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:
