Question

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

Answer 1

All real numbers

Step-by-step explanation

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

`\begin{gathered} (3\left(5x-4\right))/(3)\lt(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.