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The distance between x and 8 is less than 14.

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Solve the distance between x and 8 is less than 14.
asked Mar 6, 2014 in ALGEBRA 2 by skylar Apprentice

1 Answer

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The absolute number of a number written as |a |

And represents the distance between a and 0 on a number line .

The distance between x  and 8 is less than 14.

|x - 8| < 14

The absolute value inequality |x - 8| < 14 is equilent to -14 < x - 8 < 14.

Solve the inequality -14 < x - 8 < 14.

-14 + 8 < x - 8 < 14 + 8

-6 < x < 22

The solution set is {x | -6 < x < 22}

answered Mar 29, 2014 by david Expert
reshown Mar 30, 2014 by moderator

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