196k views
5 votes
All real numbers more than 3 units from -2 (in an absolute value inequality)

User Lannyf
by
8.4k points

1 Answer

7 votes
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)
User Okrunner
by
6.9k points