Deductive Reasoning and Conditional Statements Challenge

Why is it recommended to say logical statements out loud?

• It makes the statements more interesting.

• It helps in writing the statements correctly.

• It makes it easier to understand the logic.

• It helps in memorizing the statements.

In an if-then statement, what follows the 'if'?

• Counterexample

• Example

• Hypothesis

• Conclusion

Which of the following is an example of an if-then statement?

• The ground is wet because it rains.

• It rains, and the ground is wet.

• The ground is wet if it rains.

• If it rains, then the ground is wet.

What should you avoid when rewriting statements as conditionals?

• Using the original words

• Using filler words

• Using correct grammar

• Adding extra information

What is a counterexample?

• An example where the hypothesis is true but the conclusion is false

• An example that makes the conclusion true

• An example that makes the hypothesis false

• An example that supports the hypothesis

Why must counterexamples be specific?

• To make the statement more interesting

• To clearly show that the conditional statement is false

• To make the hypothesis true

• To support the original statement

Which of the following is a correct counterexample for the statement: 'If you live in Texas, then you are a Cowboys fan'?

• If you live in Texas, then you are a Yankees fan.

• If you live in Texas, then you don't have to be a Cowboys fan.

• If you live in Texas, then you are a sports fan.

• If you live in Texas, then you are a Texans fan.

What is the converse of the statement: 'If you are born in Texas, then you are a Texan'?

• If you are a Texan, then you are not born in Texas.

• If you are not a Texan, then you are not born in Texas.

• If you are not born in Texas, then you are not a Texan.

• If you are a Texan, then you are born in Texas.

What does the squiggly line symbol (~) represent in conditional statements?

• If

• And

• Or

• Not

Which type of conditional statement is true if both the conditional and its converse are true?

• Hypothesis

• Biconditional

• Contrapositive

• Inverse