berenice32bo berenice32bo
  • 20-12-2019
  • Mathematics
contestada

Solve 3(5x – 4) < 15x.

A) x < 4

B) No solution

C) All Real Numbers

D) x > -4

Respuesta :

jitumahi456 jitumahi456
  • 27-12-2019

Answer:

C) All real numbers

Step-by-step explanation:

Given inequality:

[tex]3(5x-4)<15x[/tex]

We need to solve the given inequality.

Solution:

Using distribution.

[tex](3\times5x)-(3\times4)<15x[/tex]

[tex]15x-12<15x[/tex]

Subtracting bot sides by [tex]15x[/tex]

[tex]15x-15x-12<15x-15x[/tex]

[tex]-12<0[/tex]

Now, we finally get a statement which is a true statement. This means the given inequality has all real number solutions.

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