Question

Solve the following inequality. Write the solution set in interval notation

Answer 1

Given:

Inequality is

`5(x-3)<2(3x-1)`

To find:

The solution set of the given inequality:

Step-by-step explanation:

`\begin{gathered} 5(x-3)<2(3x-1) \\ 5x-15<6x-2 \\ 5x-6x<15-2 \\ -x<13 \\ x>-13 \end{gathered}`

Therefore the solution set is

`(-13,\hat{\infty)}`

Final answer:

The solution set is

`(-13,\infty)`