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Logic and Proof

Logic and Proof

Logic and Proof: Make a (Mathematical) Statement True or False

1. Is the statement "1 + 1 = 2 or any two points determine a line" true or false?False
2. What is the converse of rz?zr
3. Which of "and," "not," and "or" link two statements together?"not"
4. How many values of x make the statement "x ≤ 5 and x ≥ 5" true?Infinitely many
5. Suppose we know ab, bc. If we know b is true, may we infer c?Yes, by detachment
6. Is the contrapositive of "Everything brown is a dog" true?No, and a white dog is a counterexample
7. Which is an example of something "white or not soft?"White rock candy
8. Suppose that pq and pr. May we infer that qr?No
9. What is the converse of not p → not q?not q → not p
10. The statements pq and qr are given. If we know q to be true, which of the following CANNOT be assumed as true?p

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