Q Implication Is the following statement true or false Expla

Q Implication

Is the following statement true or false? Explain your reasoning. (5 > 1) implies (1 > 6) (ii) Write the inverse, converse and the contrapositive of the implication from Q1(a)(i) and state whether they are true or false. In each case explain your reasoning.

Solution

(5>1) implies (1>6) is a false statement...

The formula (p implies q)= (not p or q )

Here (5>1) implies (1>6) equals (15) v (1>6). That is true statement implies false statement...so we. Got the given statment is false.

(ii) a)inverse:(not p implies not q) is the inverse of (p implies q)

So answer:(15) implies (61)...totally this is true statement.

b) Converse:(q implies p) is converse of (p implies q )

So answer is:(1>6) implies (5>1)----- this statement is True.

c) Contrapositive:(not q implies not p ) is the Contrapositive of p implies q....

So the answer: (61) implies (15)...This statement is a false statement....for more explanation see the truth table for implications.