Question

Solve 3(5x – 4) < 15x.

A) x < 4

B) No solution

C) All Real Numbers

D) x > -4

Answer 1

C) All real numbers

Explanation:

Given inequality:

`3(5x-4)<15x`

We need to solve the given inequality.

Solution:

Using distribution.

`(3*5x)-(3*4)<15x`

`15x-12<15x`

Subtracting bot sides by
`15x`

`15x-15x-12<15x-15x`

`-12<0`

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