Determine the truth value of each compound statement when p is false, q is true, and r is true.

  p(qr)\displaystyle \sim{p}\rightarrow{\left({q}\wedge{r}\right)}
  p(qr)\displaystyle \sim{p}\rightarrow{\left({q}\wedge\sim{r}\right)}
  (qp)r\displaystyle {\left({q}\wedge{p}\right)}\leftrightarrow\sim{r}
  (qr)p\displaystyle {\left({q}\wedge{r}\right)}\leftrightarrow{p}
  (pq)r\displaystyle {\left(\sim{p}\wedge{q}\right)}\leftrightarrow\sim{r}