Conditional Statements
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Transcript of Conditional Statements
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Conditional Statements
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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?
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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
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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
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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
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Is the statement “If it is a man, then it is not a woman”
biconditional?
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1. Sometimes2. No3. Yes
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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
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Is the statement “If I am alive, then I am breathing”
biconditional?
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1. Sometimes2. No3. Yes
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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
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“If it is not 13, then it is not odd.”
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1. True2. False
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“If it is prime, then it is not even”
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1. True2. False
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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
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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
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A converse statement in symbols:
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1. q -> p2. ~q -> p3. p -> q4. ~p -> ~q
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A contrapositive statement in symbols
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1. ~q -> ~p2. ~p -> ~q3. p -> q4. q -> p
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An inverse statement in symbols
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1. ~q -> ~p2. ~p -> ~q3. p -> q4. q -> p
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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
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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