Conditional Statements

Warm Up

Given the statement: If I am young, then I am not old 1. Write the:

a) Converseb) Inversec) Contrapositive

2. Is the statement Biconditional?3. What is the symbol form of an inverse statement?

What is the negation of the statement:“Ms. Craddock is a great teacher”

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1. Ms. Craddock is a good teacher

2. Ms. Craddock is not a great teacher

3. Ms. Craddock is not a teacher

4. Ms. Craddock is a student

What is the negation of the statement“It is raining”

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1. It is sunny2. It is drizzling3. I need an umbrella4. It is not raining

What is the converse of the statementIf it is a man, then it is not a woman

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1. If it is not a woman, then it is not a man.

2. If it is not a man, then it is a woman

3. If it is not a woman, then it is a man.

4. If it is a woman, then it is not a man

Is the statement “If it is a man, then it is not a woman”

biconditional?

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1. Sometimes2. No3. Yes

Write the contrapositive of the statement“If I am alive, then I am breathing”

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1. If I am not alive, then I am not breathing

2. If I am breathing, then I am alive

3. I am not alive.4. If I am not

breathing, then I am not alive

Is the statement “If I am alive, then I am breathing”

biconditional?

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1. Sometimes2. No3. Yes

Given the statement:“If it is 13, then it is odd.”

Which type of statement is“If it is not 13, then it is not odd.”

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1. Inverse2. Converse3. Contrapositive4. Biconditional

“If it is not 13, then it is not odd.”

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1. True2. False

“If it is prime, then it is not even”

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1. True2. False

Given the statement“If it is prime, then it is not even”

Which type of statement is“If it is even, then it is not prime”?

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1. conditional2. inverse3. converse4. contrapositive

What is the conclusion of the statement:“If two planes intersect..

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1. Then they intersect in a point

2. Then they intersect in a right angle

3. Then they intersect in a line

4. Then they do not intersect in a line

A converse statement in symbols:

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1. q -> p2. ~q -> p3. p -> q4. ~p -> ~q

A contrapositive statement in symbols

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1. ~q -> ~p2. ~p -> ~q3. p -> q4. q -> p

An inverse statement in symbols

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1. ~q -> ~p2. ~p -> ~q3. p -> q4. q -> p

If a contrapositive statement is true, which of these must also be true?

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1. Biconditional2. Conditional: “If then”3. converse4. inverse

If a conditional statement is true, and is not biconditional, which of these would be false?

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1. Contrapositive2. Inverse3. converse4. Both 2 and 3