# algebra

posted by Bri

write the verbal sentence as an inequality and solve the inequality. (this has to do with absolute value inequalities)

the distance between x and 8 is less than 14

1. Bri

i think the answer is (x-8)<14
the parentheses stand for the absolute value sign

2. helper

| x - 8 | < 14

this means
x - 8 < 14
x < 22

-x + 8 < 14
-x < 6
x > -6

therefore,
-6 < x < 22

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