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Novosadov [1.4K]
2 years ago
12

Solve the following and graph the solutions:

Mathematics
1 answer:
Oksanka [162]2 years ago
4 0
<h2>Solving Compound Inequalities</h2><h3>Answer:</h3>

The third Choice

x > 1 \text{ or } x < -1

<em>Please</em><em> refer</em><em> to</em><em> the</em><em> attached</em><em> image</em><em> </em><em>for</em><em> the</em><em> </em><em>graph</em>

<h3>Step-by-step explanation:</h3>

Given:

2x +1 > 3 \text{ or } 2x -1 < -3

Let's solve for the 2x +1 > 3 part of the Compound Inequality first.

2x +1 > 3 \\ 2x > 3 -1 \\ 2x > 2 \\ x > \frac{2}{2} \\ x > 1

Now, let's solve 2x -1 < -3:

2x -1 < -3 \\ 2x < -3 +1 \\ 2x < -2 \\ x < \frac{-2}{2} \\ x < -1

We can now rewrite our Compound Inequality as x > 1 \text{ or } x < -1

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