Question

20 POINTS AND WILL GIVE THE BRAINLIEST!!! Jack's favorite sports drink comes in a 20-ounce bottle. The manufacturer of the sports drink requires a tolerance of 0.4 ounce. This means that as long as the bottle is within 0.4 ounce of 20 ounces, the bottle can be sent to stores to be sold.
sold. Write an absolute value inequality describes the acceptable weight, w, of a 20-ounce bottle of sports drink

Answer 1

Answer:

$|w-20|\leq 0.4$

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:  $w\leq 20+0.4$  then $w-20\leq 0.4$

2) larger than or equal to 20 oz - 0.4 oz:  $20-0.4\leq w$  then  $-0.4\leq w-20$

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

$-0.4 \leq w-20\leq 0.4$

This double condition can also be written using the absolute value symbol as:   $|w-20|\leq 0.4$