SOLUTION: Abc school decided to select players for their basket ball team. The players should be within 66 inches to 74 inches tall. Write an absolute value equation for this solution.

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Question 536318: Abc school decided to select players for their basket ball team. The players should be within 66 inches to 74 inches tall. Write an absolute value equation for this solution.
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!

Find the midpoint ("half way" point) from 66 to 74
by averaging them: %2866%2B74%29%2F2 = 140%2F2 = 70

So 70 is half way between 66 and 74.

70 inches is 4 inches TALLer than 66 inches and 4 inches 
SHORTer than 74 inches.

Let's look at the shortest height which they'll accept, which is
66.  If you subtract 70 from that, 66-70, you get -4.

Now let's look at the tallest height which they'll accept, which is
74.  If you subtract 70 from that, 74-70, you get +4.

Now notice that both -4 and +4 have the same absolute value. 
So we want to write an inequality that will say that 
when we subtract the middle value 70 from it, we will get
a number whose absolute value is no more than 4, that is,
LESS THAN OR EQUAL 4. 

Let x = the height of a person.  Then when we subtact 70
from it, we get x-70, then we put it in absolute value bars like
this, |x-70| and then we say that this is less than or equal to 4,
so we write:

    |x - 70| ≦ 4

That's the answer.

Edwin