Question

Solve for the inequality for x and identify the graph of its solution |x+1|<2

Answer 1

-3 < x < 1

see the attachment for a graph

Explanation:

The inequality can be rewritten as a compound inequality. Its solution will be graphed as an open-ended segment on the number line.

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rewrite

|x+1| < 2

-2 < x +1 < 2 . . . . . . . . . copy the right side to the left, with a minus sign

solution

-3 < x < 1 . . . . . . subtract 1 everywhere

graph

The < symbol means the end points of the solution line will be open circles. (They are not included in the solution space.) The number line will be shaded between the end points.