If A and B are sets, and A is a proper subset of B, then which of the following can we conclude? (Select all that apply) OVx(x EA x OVx(x EB → x B) A#0 OB # 0 A) 3x(x € AA x B) 03x(x AA EB)
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- Assume that is a binary operation on a non empty set A, and suppose that is both commutative and associative. Use the definitions of the commutative and associative properties to show that [ (ab)c ]d=(dc)(ab) for all a,b,c and d in A.16. Let and define on by if and only if . Determine whether is reflexive, symmetric, or transitive.True or False Label each of the following statements as either true or false. AB=CB implies A=C, for all sets A,B, and C.