Determining the Inverse, Converse and Contrapositive of an If-th

What is the symbolic form of a conditional statement?

• p → q

• q → p

• ~p → ~q

• ~q → ~p

When the hypothesis and conclusion of a conditional statement is negated, it is called ______.

• Inverse

• Converse

• Contrapositive

• Conditional Statement

Which of the following best describes the converse of a conditional statement?

• If it is in the form of “If p, then q”.

• Both the hypothesis and conclusion are negated.

• The hypothesis and the conclusion are interchanged.

• The hypothesis and the conclusion of its converse are negated.

Which of the following best describes the contrapositive of a conditional statement?

• If it is in the form of “If p, then q”.

• Both the hypothesis and conclusion are negated.

• The hypothesis and the conclusion are interchanged.

• The hypothesis and the conclusion of its converse are negated.

Given the conditional;

"If Destiny goes to work tonight, then she will make money"

What is the conclusion?

• Destiny goes to work tonight

• Destiny doesn't go to work

• She will make money

• then she will make money

If I have a Siberian Husky, then I have a dog.

Identify the hypothesis.

• If I have a Siberian Husky.

• I have a Siberian Husky.

• then I have a dog

• I have a dog

Given “If p, then q”, which of the following describes a converse statement?

• If p, then q.

• If q, then p.

• If not p, then not q.

• If not q, then not p.

Which of the following forms is a contrapositive of “If p, then q”?

• If p, then q.

• If p, then q.

• If not p, then not q.

• If not q, then not p.

Which of the following forms is an inverse of “If p, then q”?

• If p, then q.

• If p, then q.

• If not p, then not q.

• If not q, then not p.

Given the conditional statement “If 2x+5=7, then x=1”. The statement “If x=1, then 2x+5=7” is its___________.

• Converse

• Inverse

• Contrapositive

• Conditional Statement