landonb5125 landonb5125
  • 21-08-2020
  • Mathematics
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–6 < 2x – 4 < 4 solve the inequality

Respuesta :

Stephen46
Stephen46 Stephen46
  • 24-08-2020

Answer:

The answer is

[tex] - 1 < x < 4[/tex]

Step-by-step explanation:

[tex] - 6 < 2x - 4 < 4[/tex]

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

That's

[tex] - 6 + 4 < 2x - 4 + 4 < 4 + 4 \\ - 2 < 2x < 8[/tex]

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

That's

[tex] \frac{ - 2}{2} < \frac{2x}{2} < \frac{8}{2} [/tex]

We have the final answer as

[tex] - 1 < x < 4[/tex]

Hope this helps you

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