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nikklg [1K]
3 years ago
9

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

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

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:

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The solution of the given inequality is x<-9.

<h3>What is inequality?</h3>

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

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