Jack's favorite sports drink comes in a 20-ounce bottle. The man- ufacturer of the sports drink requires a certain tolerance to make
sure the bottle can be sent to stores to be sold. Iw - 201 s 0.4 is
the formula used to determine how much a bottle can weigh.
Solve the absolute value inequality to determine the acceptable
weights, w, of a 20-ounce bottle of sports drink. Write your an-
swer as a compound inequality.
Answer the question with an absolute value inequality

|w-20|≤0.4

Step-by-step explanation:

The manufacturer requires that the weight differs from 20 oz in at most 0.4 oz, therefore we can write this difference (which can be either above or below 20 oz, to be smaller than or equal to 0.4 oz.

The weight can be:

1) smaller than or equal to 20 oz + 0.4 oz:  w≤20+0.4 then w-20≤0.4

2) larger than or equal to 20 oz - 0.4 oz:  20-0.4≤w then -0.4≤w-20

and which combined, can be written as a double inequality;

-0.4≤w-20≤≤0.4

This double condition can also be written using the absolute value symbol as:

|w-20|≤0.4

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step-by-step explanation: