Question: how to answer Consider the following sets. The universal set for this problem is N. A = The set of all even numbers. B =

how to answer

Consider the following sets. The universal set for this problem is N. A = The set of all even numbers. B = The set of all prime numbers. C = The set of all perfect squares. D = The set of all multiples of 10. Using only the symbols 3, A, B, C, D, N, E, C, =, #, n, U, x, ', 0, (, and ), write the following statements in set notation. (a) None of the perfect squares are prime numbers. OCEB O BUC = 0 O BNC = 0 OCEB O CB (b) All multiples of 10 are even numbers. OANDFO ODEA OAED OaED O A = D (c) The number 3 is a prime number that is not even. O 3 E (BNA)' O 3 E B and 3 EA O 3 E (BUA)' O 3 EAUB' O 3 EBNA' (d) If you take all the prime numbers, all the even numbers, all the perfect squares, and all the multiples of 10, you still won't have all the natural numbers. O ( A U BUCUD)EN O ( A U BU CUD )' SO O ( AnBnCND )' = 0 O (A UBUCUD)' = 0 (AnBACAD)CN

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