Consider the Linear Functions $f(x)=\frac{3}{4}(4-x)+x-8$ And $g(x)=3(x-3)+2(x+2)$
(A) Solve $f(x)=g(x)$ Analytically, Showing All Steps

Essay

Consider the linear functions $f(x)=\frac{3}{4}(4-x)+x-8$ and $g(x)=3(x-3)+2(x+2)$ .
(a) Solve $f(x)=g(x)$ analytically, showing all steps. Also, check analytically.
(b) Graph $y_{1}=f(x)$ and $y_{2}=g(x)$ and use your result in part (a) to find the solution set of $f(x)<g(x)$ . Explain your answer.
(c) Repeat part (b) for $f(x)>g(x)$