Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and S = {x|x >4 and x E even integers}. Find s' O s' = {Ø} O s' = {1,2, 3, 4, 5, 7,9} O s' = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} O s'= {4}

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A: Given f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) The domain of f =…

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Q: 3. From Fermat's theorem deduce that, for any integer n 20, 13| 1112+6 + 1.

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A: Solution: Given that F(A, B, C, D) = A'B'C'D' + A'B'C'D + A'BCD' + A'BCD Now, truth table Row no.…

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A: We know that  ProjrF=r.F∥r∥2r Now, r.F=23+12-31=5 ∥r∥2=r,r        =2,1,-3,2,1,-3        =22+11-3-3…

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Q: Problem 3. Let a, b and n be positive integers. Prove that (a) gcd(an, b″) = gcd(a, b)” and lcm(a”,…

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