We are given the following inequality
[tex]4\left(x+2\right)>6[/tex]Let us solve the inequality to find the value of x.
Step 1: open the brackets
[tex]\begin{gathered} 4\left(x+2\right)>6 \\ 4x+8>6 \end{gathered}[/tex]Step 2: subtract 8 from both sides
[tex]\begin{gathered} 4x+8-8>6-8 \\ 4x>-2 \end{gathered}[/tex]Step 3: divide both side by 4
[tex]\begin{gathered} \frac{4x}{4}>\frac{-2}{4} \\ x>\frac{-1}{2} \end{gathered}[/tex]Therefore, the value of x is greater than -1/2 that is (x > -1/2)