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Select the graph of the solution. Click until the correct graph appears.

|x| + 1 < 3

Select the graph of the solution. Click until the correct graph appears. |x| + 1 &lt-example-1
Select the graph of the solution. Click until the correct graph appears. |x| + 1 &lt-example-1
Select the graph of the solution. Click until the correct graph appears. |x| + 1 &lt-example-2
Select the graph of the solution. Click until the correct graph appears. |x| + 1 &lt-example-3
User DMe
by
8.8k points

2 Answers

0 votes

Answer:

Graph A

Explanation:

if x ≥ 0

x + 1 < 3

x < 3 - 1

x < 2

0≤ x < 2


if x < 0

-x + 1 < 3

-x < 3 - 1

-x < 2

x > -2


-2 < x < 0

Final solution

-2 < x < 2

User DKMudrechenko
by
7.6k points
4 votes

Answer:

Graph B

Explanation:

First, simplify by subtracting 1 on both sides.

|x| + 1 - 1 < 3 - 1

|x| < 2

Using the absolute value definition, we know the inequalities are:

x < 2

-x < 2

Divide both sides by -1.

x < -2

If you multiply or divide both sides of an inequality by a negative number, you must flip the sign.

x > -2

x<2, x>-2

Graph B

User Clyc
by
7.6k points

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