Write an absoolute value inequality that represents, "all real numbers less than 4 units from 6 on a number line."

Question

asked May 22, 2017 147k views

1 Answer

Martijn Van Der Put · Answer 1 · 2017-05-26T12:18:12+0000

The question is asking for an absolute value inequality that represents all real numbers less than

units from

in any direction on the number line.

This can be written as
$2 \ \textless \ |x| \ \textless \ 10$ .

numbers from

to the left is or
6-2

, or

.

numbers to the right of

is

, or

. Therefore, the inequality can only allow real numbers whose absolute values fall between

and

.