1.Select the statement that is the inverse of "If it rains, then I won't go to the mall." A. If I don't go to the mall, then it rains. B. If it doesn't rain, then I will go to the mall. C. If I go to the mall, then it isn't raining, D. Since it's Monday I probably won't go to the mall, anyway.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1.Select the statement that is the inverse of "If it rains, then I won't go to the mall."

A. If I don't go to the mall, then it rains.
B. If it doesn't rain, then I will go to the mall.
C. If I go to the mall, then it isn't raining,
D. Since it's Monday I probably won't go to the mall, anyway.


2.Select the statement that is the contrapositive of "If the weather is nice, then I will wash the car."

A. If I wash the car, then the weather is not nice.
B. If I don't wash the car, then the weather is not nice.
C. If the weather is not nice, then I won't wash the car.
D. If I wash the car, then the weather is nice.


3. Select the statement that is the converse of "If two angles are supplementary, then the sum of
their measures is 180º.”

A. If the sum of the measures of two angles is 180°, then they are supplementary.
B. If two angles are not supplementary, then the sum of their measures is not 180°.
C. If the sum of the measures of two angles is not 180°, then they are not supplementary.
D. If the sum of the measures of two angles is 180°, then they are not supplementary.


4. Which of the following statements is true?

A. If a number is a whole number, then it is an integer.
B. If a number is an integer, then it is a whole number.
C. If a number is not a whole number, then it is not an integer.
D. If a number is not a whole number, then it is an integer.


5. Select the statement that is logically equivalent to "If p, then q.”

A. If q, then p.
B. If not g, then not p.
C. If not p, then not q,
D. If not q, then p.


6. Select the statement that is logically equivalent to "If-p, then q."

A. If q, then p.
B. If p, then q
C. If -q, then -p.
D. If -q, then -p

 

7. Select the statement that is logically equivalent to "If it is raining, then we will play scrabble."

A. If we don't play scrabble, then it isn't raining

B. If it isn't raining, then we will play scrabble.

C. If it rains, then we will not play scrabble.

D. It is mining, and we don't play scrabble.

 

8. Select the statement that is logically equivalent to today is Sunday, then school is closed."

A. If today isn't Sunday, then school isn't closed
B. If school is closed, then today is Sunday.
C. If school isn't closed, then today is not Sunday.
D. A, B, & C are all equivalent to the statement above.

 

9. Select the statement that is logically equivalent to "If a number is 5, then it is a prime number."

A.If a number is a prime, then the number is 5.
B. If a number is not 5, then it is not a prime number
C. If a number is not prime, then the number is not 5.
D. If a number is composite, then the number is 5.

 

10. Select the statement that is logically equivalent to "If a figure is trapezoid, then it has 4 sides."

A. If a figure doesn't have 4 sides, then it is not a trapezoid.
B. If a figure doesn't have 4 sides, then it is a trapezoid.
C. If a figure has 4 sides, then it is not a trapezoid
D. If a figure has 4 sides, then it is a trapezoid.

 

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