calebmusic calebmusic
  • 11-11-2019
  • Mathematics
contestada

What is the solution to this inequality? 2(x - 4) < 5x + 4 A. x < 4 B. x > -4 C. x > - D. x <

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carlosego
carlosego carlosego
  • 15-11-2019

For this case we have the following inequality:

[tex]2 (x-4) <5x + 4[/tex]

We apply distributive property on the left side of inequality:

[tex]2x-8 <5x + 4[/tex]

We subtract 5x on both sides of the inequality:

[tex]2x-5x-8 <4\\-3x-8 <4[/tex]

We add 8 to both of the inequality:

[tex]-3x <4 + 8\\-3x <12[/tex]

We divide between 3 on both sides of the inequality:

[tex]-x <\frac {12} {3}\\-x <4[/tex]

We multiply by -1 on both sides taking into account that the sense of inequality changes.

[tex]x> -4[/tex]

Answer:

[tex]x> -4[/tex]

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