Question

please help- I need this and don't understand it and some meanie didn't answer it with an acceptable answer :

Answer 1

Answer: $|h-1.7| \le 0.5$

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Explanation:

The endpoints of this compound inequality are 1.2 and 2.2

Add up the endpoints to get 1.2+2.2 = 3.4

Divide that result in half getting 3.4/2 = 1.7

The midpoint between 1.2 and 2.2 is 1.7

The distance from 1.7 to 1.2 is 0.5 units after we subtract the values (1.7-1.2 = 0.5). Also, from 1.7 to 2.2 is 0.5 units as well (2.2 - 1.7 = 0.5)

The compound inequality $1.7 \le h \le 2.2$ converts to the absolute value inequality $|h-1.7| \le 0.5$

The portion h-1.7 represents the distance h is from 1.7; we want this distance to be 0.5 or smaller. The use of absolute value is to ensure the result h-1.7 is never negative.