0 votes 0 votes In propositional logic, which of the following is equivalent to $p \rightarrow q$? $\sim p\rightarrow q$ $ \sim p \vee q$ $ \sim p \vee \sim q$ $p\rightarrow \sim q$ Mathematical Logic nielit2016mar-scientistc discrete-mathematics mathematical-logic + – admin asked Apr 2, 2020 recategorized Oct 28, 2020 by Krithiga2101 admin 2.4k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply vg653 commented Apr 2, 2020 reply Follow Share B is the correct option. 0 votes 0 votes DIBAKAR MAJEE commented Apr 14, 2020 reply Follow Share Option B. 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Because p -> q = ~p + q now option a : ~p->q = ~(~p) + q = p + q so this is not correct option b : ~p V q = ~ p + q so this option is correct In the same way other options can be checked. We got the answer as option B so no need to check further. gaurav1.yuva answered Apr 4, 2020 gaurav1.yuva comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes option A is correct. DIBAKAR MAJEE answered May 30, 2020 DIBAKAR MAJEE comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes B is the correct answer. eshita1997 answered Jan 7, 2021 eshita1997 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes p->q means either p should be false or q should be true if p is true then q should be true , hence p ->q = ∼p∨q hence correct optiom : B anjli answered Feb 20, 2021 anjli comment Share Follow See all 0 reply Please log in or register to add a comment.