Question

22. Solve 3(5x – 4) < 15x.O x<4No solutionX >-4All Real Numbers

Answer 1

ANSWER

All real numbers

EXPLANATION

To solve this inequality, first, divide both sides by 3,

$\begin{gathered} \frac{3\left(5x-4\right)}{3}\lt\frac{15x}{3} \\ \\ 5x-4\lt5x \end{gathered}$

Then, subtract 5x from both sides of the inequality,

$\begin{gathered} 5x-5x-4\lt5x-5x \\ \\ -4\lt0 \end{gathered}$

-4 indeed is less than 0, and this is valid for any value of x in the real numbers - i.e. any real number for x satisfies the inequality.

Hence, the solution is all real numbers.