Question

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Answer 1

You will receive the trophy if you win the championship match.

Identify the hypothesis and the conclusion of the conditional statement.

hypothesis: you will receive the trophy; conclusion: you win the championship match
hypothesis: you do not win the championship match; conclusion: you will not receive the trophy
hypothesis: you win the championship match; conclusion: you will receive the trophy
hypothesis: you will not receive the trophy; conclusion: you do not win the championship match

Answer 2

Consider the conditional statement . What is the inverse of the contrapositive of this statement?

Answer 3

Given:

/: /

/: /

/

Write the contrapositive in if-then form.

If , then .
If , then .
If , then .
If , then .

Answer 4

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Answer 5

Given:

/: It is Monday.

/: There is chicken for lunch.

/

Write the inverse in if-then form.

If it is Monday, then there is chicken for lunch.
If there is chicken for lunch, then it is Monday.
If there is not chicken for lunch, then it is not Monday.
If it is not Monday, then there is not chicken for lunch.

Answer 6

Given:

/: It is Monday.

/: There is chicken for lunch.

/

Write the inverse in if-then form.

If it is Monday, then there is chicken for lunch.
If there is chicken for lunch, then it is Monday.
If there is not chicken for lunch, then it is not Monday.
If it is not Monday, then there is not chicken for lunch.

Answer 7

Given:

/: It is Monday.

/: There is chicken for lunch.

/

Write the inverse in if-then form.

If it is Monday, then there is chicken for lunch.
If there is chicken for lunch, then it is Monday.
If there is not chicken for lunch, then it is not Monday.
If it is not Monday, then there is not chicken for lunch.