$(6$ pts$)$ Determine whether the proposition is TRUE or FALSE. No justifications needed.

a$)5+4=8$ if and only if $2+3=6.(2$ pts$)$

b$)$ If $20>11,$ then $2>5.(2$ pts$)$

c$)$ If it is sunny, then it is sunny. $(2$ pts$)$

$(7$ pts$)$ Determine whether $(notp$notq$)-=(qp)$ using truth table.

$(7$ pts$)$ Prove that $(p^{{?}^{?}}(notq$notp$))q$ is a tautology using propositional equivalence and the laws of logic. Show steps. Give names of laws used in all steps.