Chapter 2.3, Problem 50E

In Problems $53\text{-}56$,

(A) Graph $f$ and $g$ in the same coordinate system.

(B) Solve $f\left(x\right)=g\left(x\right)$ algebraically to two decimal places.

(C) Solve $f\left(x\right)>g\left(x\right)$ using parts $\left(\text{A}\right)$ and $\left(\text{B}\right)$

(D) Solve $f\left(x\right)<g\left(x\right)$ using parts $\left(\text{A}\right)$ and $\left(\text{B}\right)$

$\begin{array}{c}f\left(x\right)=-0.7x\left(x-7\right)\\ g\left(x\right)=0.5x+3.5\\ 0\le x\le 7\end{array}$