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2. (a) A very heavy blanket has a warning label that says In order to use this blanket uithout supervision, you must be at least 8 years old or weigh at least 115 pounds. If you are noit at least 8 years old, or you weigh less than 115 pounds, then you cannot use this blanket without supervision. Write the two assertions on the label in symbolic form using 5: you can use the blanket without supervision, t you are at least 8 years old, you weigh at least 115 pounds. Then, determine whether they are logically equi uppose that a 24 year old person who weighs 108 pounds is given the blanket. What can they conclude from the warning label? (b) A childs parents accuse the child of stealing a cookie from the cookie jar. They dont see the cookie, and so they agree that If our child took the cookie then he has eaten it by now. The child comes into the room with the cookie and eats it in front of the parents. The parents immediately begin blaming each other for taking the cookie. Explain their reasoning. (c) The following is a theorem about integers: Let n 1 be an integer. If2 +1 is p then n is a power of 2. i. Does the theorem imply that if n is not a power of 2 then 2n +1 is not prime? Explain. i. The integer 2 +1 4294967297 641 x 6700417 is not prime. Does this mean the given statement is not actually a theorem?
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