The expression we have is:
[tex]12x+4>9x-14[/tex]Steps to solve this inequality:
Step 1. Subtract 4 to both sides:
[tex]\begin{gathered} 12x+4-4>9x-14-4 \\ 12x>9x-18 \end{gathered}[/tex]Step 2. Subtract 9x to both sides:
[tex]\begin{gathered} 12x-9x>9x-9x-18 \\ 3x>-18 \end{gathered}[/tex]Step 3. Divide both sides by 3:
[tex]\begin{gathered} \frac{3x}{3}>-\frac{18}{3} \\ x>-6 \end{gathered}[/tex]Answer:
[tex]x>-6[/tex]