Question

Assume that p is a true sentence and q is a false sentence. Then, select the correct standard form and truth value for the following statement: if p then q

a). if p then q, true

b). if p then q, false

c). if q then p, false

d). if q then p, true

Answer 1

Assume that p : is true senteces

Also q: is a false statement

Then correct answer is( b) if p then q , false

Justification:. Suppose p: is "2is an even no"

q: is "3 is not an odd no" then p is always true and q is always false and the statements are independent i,e the statement p always true it does not depend on what q is true or false. Now in this example if 2 is even it does not imply 3 is not odd. On the otherhand it implies 3is an odd no. Hence (b) is true.