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4 votes
Solve for x: −1 < x + 3 < 5

2 < x < 8
−4 < x < 2
2 > x > 8
−4 > x > 2

User Minsun
by
6.0k points

2 Answers

3 votes

Answer:

For this question the answer is :
-4 < x < 2

Explanation:

First Move all the terms not containing
x from the center section of the inequality.

Subtract 3 from all terms:


-1-3 < x+3-3 < 5-3

The Inequality form would be :


-4 < x < 2

User Agermano
by
6.2k points
3 votes

−1 < x + 3 < 5

To solve this, you need to isolate the X variable. To get x by itself, you need to subtract 3 from x+3 to get x.

Because you are subtracting 3 from one term, you need to subtract 3 from all the terms.

Subtract 3 from all terms:

-1-3 < x+3-3 < 5-3

The answer is:

-4 < x < 2