Given-the-preposition-p-q-q-r-p-r-Write-down-a-Converse-b-Inverse-c-Contrapositive-

Question Number 178568 by Spillover last updated on 18/Oct/22

Given the preposition

[(p \to q) \land (q \to r)] \to (p \to r)

Write down

(a) Converse

(b) Inverse

(c) Contrapositive

Answered by cortano1 last updated on 18/Oct/22

(a) (p \Rightarrow r) \Rightarrow [(p \Rightarrow q) \land (q \Rightarrow r)]

(b) [(p \land \sim q) \lor (q \land \sim r)] \Rightarrow (p \land \sim r)

(c) (p \land \sim r) \Rightarrow [(p \land \sim r) \lor (q \land \sim r)]

Commented by Spillover last updated on 18/Oct/22

thanks