All real numbers more than 3 units from - 2 (in an absolute value inequality)

Question

Mathematics

Dixie Riddle

4 September, 00:07

All real numbers more than 3 units from - 2 (in an absolute value inequality)

+1

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Lana Lyons · Answer 1

Draw a number line. Locate the origin and x = - 2. Beginning at x = - 2, move 3 units to the right. You'll end up at x = 1. Next, beginning at x = - 2, move 3 units to the left. You'll end up at x = - 5.

The solution set consists of all real numbers greater than 1 or less than - 5.

(-infinity, - 5) OR (1, + infinity)