Question

If p = Roses are red and q = Violets are blue then the statement "if violets are not blue then roses are not red" can be termed as _________.
Select one:
a. Inverse
b. Contrapositive
c. Biconditional
d. Converse

Answer 1

Step-by-step explanation:

(a) inverse of correct answer

Answer 2

If p = Roses are red and q = Violets are blue then the statement "if violets are not blue then roses are not red" can be termed as contrapositive.

• Let p→q be a conditional.
• The inverse of p→q is the conditional ~p→~q. In the given question, the inverse is- if roses are not red then violets are not blue.

• The contrapositive of p→q is the conditional ~q→~p. In the given question, the contrapositive is- if violets are not blue then roses are not red.

• The biconditional of p→q is the conditional (p→q)^(q→p).

• The converse of p→q is the conditional q→p. In the given question, the converse is- if violets are blue then roses are red.