Step 1:
Write the equation
[tex]5x\text{ - 2 < }8x\text{ - 11}[/tex]
Step 2:
Collect similar terms to find the range of the values of x.
[tex]\begin{gathered} 5x\text{ - 2 < 8x - 11} \\ \text{collect similar terms} \\ 11\text{ - 2 < 8x - 5x} \\ 9\text{ < 3x} \\ \text{Divide through by 3} \\ \frac{9}{3}\text{ < }\frac{3x}{3} \\ 3\text{ < x} \\ x\text{ > 3} \end{gathered}[/tex]
Final answer
[tex]\begin{gathered} x\text{ > 3} \\ \text{Option C is the correct answer} \end{gathered}[/tex]
