The distance between x and 8 is less than 14.

Question

Solve the distance between x and 8 is less than 14.

Answer 1

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}