Determining that conditional and contrapositive are logically equivalent statements

Determining that conditional and contrapositive are logically equivalent statements

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains conditional statements using a fishing example, introducing the concept of contrapositive and its logical equivalence to the original statement. It discusses how both conditional and contrapositive statements are either both true or both false, using truth values to illustrate this point. The tutorial concludes by reinforcing the logical equivalence between these statements.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Provide an example of a conditional statement and its contrapositive.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the definition of a contrapositive in relation to a conditional statement?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for two statements to be logically equivalent?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the relationship between a conditional statement and its contrapositive.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Under what conditions can a conditional statement be considered false?

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