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5. (2 points) Use for the next two questions: The set of all integers n such tha

ID: 3572124 • Letter: 5

Question

5. (2 points) Use for the next two questions:      The set of all integers n such that n is a factor of 12.

           

            (a) Use the set-roster notation to indicate the elements in the set.

            (b) Use the set-builder notation to describe the set.

6. (1 point) Let A = {2, 3} and B = {x, y}. Write A X B.

7. (3 points) Simplify the expression: (q V ~p) ----> (r V p)

to include no implications and as few symbols as possible. State each law used.

8. (2 points) Complete the truth table for the statement (q Ú ~p) ® (r Ú p)

p      q        r       ~p    (q Ú ~p)     (r Ú p)         (q Ú ~p) ® (r Ú p)

9. (3 points) True or False? Draw a circle around your answer.

TRUE FALSE            {3} subset {2, 3, 5}

TRUE FALSE            {3} subset {1, {2}, {3}, 5}

TRUE FALSE                3 element {2, 3, {5}}

Explanation / Answer

1) Probability of rolling 10+ = # of favourable case / 36 = 6/36 = 1/6

2) probability of rolling an odd number = 18/36 = 1/2

3) Sum of 7 is most likely to come with probability 6/36 = 1/6

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