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GrogVix [38]
4 years ago
14

–6 < 2x – 4 < 4 solve the inequality

Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
6 0

Answer:

The answer is

<h2>- 1 < x < 4</h2>

Step-by-step explanation:

<h3>- 6 < 2x - 4 < 4</h3>

First of all add 4 to both sides of the inequality to make 2x stand alone

That's

<h3>- 6 + 4 < 2x - 4 + 4 < 4 + 4 \\  - 2 < 2x < 8</h3>

Divide both sides of the inequality by 2 inorder to find x

That's

<h3>\frac{ - 2}{2}  <  \frac{2x}{2}  <  \frac{8}{2}</h3>

We have the final answer as

<h3>- 1 < x < 4</h3>

Hope this helps you

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Denominator of a rational expression cannot be 0 because if it will be 0 then the expression will be undefined. Hence, we need to exclude the values of x at which the denominator will be 0. So,

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