[tex]( -\frac{x}{7} )+ 4 - 3(x) \ \textgreater \ 0[/tex]
Solve this: [tex] \frac{x}{7} [/tex]
Take the '0' from behind the equal sign in the first step
[tex]0 - \frac{x}{7} + 4 - 3x \ \textgreater \ ? [/tex]
[tex] \frac{-4(7)}{7} [/tex]
[tex]-7(4) = 28 - x [/tex]
[tex] \frac{28 - x}{7} [/tex] [tex]- 3(x0 \ \textgreater \ ?[/tex]
[tex] \frac{3(x)}{7} [/tex]
Your inequality plot would be: [tex]-3.143 (4.0) \ \textless \ 0 [/tex]
We have One Solution in this problem
Your answer would be: [tex]x\ \textless \ \frac{14}{11} [/tex] if we added [tex] \frac{14}{11} [/tex] both sides of the inequality plot
Side Note: You don't have to do this method to solve inequalities, you can do whatever helps you out more
So, you're correct with your answer as C.
