Question

This is a two parter question. What is the answer and how do I solve it.

Answer 1

Step 1:

Write the equation

`5x\text{ - 2 < }8x\text{ - 11}`

Step 2:

Collect similar terms to find the range of the values of x.

`\begin{gathered} 5x\text{ - 2 < 8x - 11} \\ \text{collect similar terms} \\ 11\text{ - 2 < 8x - 5x} \\ 9\text{ < 3x} \\ \text{Divide through by 3} \\ (9)/(3)\text{ < }(3x)/(3) \\ 3\text{ < x} \\ x\text{ > 3} \end{gathered}`

Final answer

`\begin{gathered} x\text{ > 3} \\ \text{Option C is the correct answer} \end{gathered}`