SOLUTION: How do you use absolute value notation to define x<3 and x>7

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Question 719078: How do you use absolute value notation to define x<3 and x>7
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I believe that the expected answer is abs%28x-5%29%3E2.

Mid-way between 3 and 7 on the number line is their average, 5=%283%2B7%29%2F2.
number_line%28+600%2C+-2%2C+12%2C+%285-2%29%2C+5%2C+%285%2B2%29+%29
Numbers that are more than 2 units away from 5 are
either to the left of 3 as is x%3C3
or to the right of 7 as in x%3E7 .

Absolute value of a difference of two numbers is the distance between those two numbers on the number line.
Inequalities that use absolute value of %28x-number%29
can have solutions that includes numbers at less than a certain distance from the number or at more than a certain distance from the number.

abs%28x-10%29%3C4 <--> 6%3Cx%3C14 means numbers less than 4 units away from 10
abs%28x-10%29%3E4 <--> system%28x%3C6%2Cx%3E14%29 means numbers more than 4 units away from 10