Solve an inequality to find the possible values of x

Given the figure attached:
Any two sides on a triangle have to be greater than the third side, so:
[tex]3x+2+2x+6\text{ > 10}[/tex]solving for x:
[tex]\begin{gathered} 5x\text{ > }10-2-6 \\ 5x\text{ > }2 \\ x>0.4 \end{gathered}[/tex]ANSWER
x > 0.4