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Set theory Math 30-2. Could someone explain question 6 and 7 since they are related and how i got the results. Thank you. 6 Logical

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Set theory Math 30-2. Could someone explain question 6 and 7 since they are related and how i got the results. Thank you.

image text in transcribed
6 Logical Reasoning and Set Theory Lesson #1: Connecting Words "And". "Or", "Not" 6. Consider the following statements. In each case, state all the values of the variable that make the statement true. Each variable is restricted to natural numbers less than or equal to 15. a) a is a prime number and a is even. 2 b) b is a factor of 12 and b is a multiple of 3. c) c is a factor of 12 and c is not a multiple of 3. 2 d) d is a factor of 12 or d is a multiple of 3. 1.236. 9, 12:15 e) e is not a prime number. f) f is an odd number, and fis a factor of 5 or a factor of 9. 1: 3.5. 9 g) g is an odd number, and it is not the case that g is a factor of 5 or a factor of 9. 7:11:3 15 h) h is an even number and h is a factor of 5. 7. Given statement A and statement B, complete the following table by filling either True or False in each box. A B A and B A or B not A True True True True False False False True CISC False False False False

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