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I need answer urgently for this question. Please help me. Thank you. QUESTION 1: a) Given a set A = {13,453}. i. Define a relation

I need answer urgently for this question. Please help me.

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QUESTION 1: a) Given a set A = {13,453}. i. Define a relation R on setA such thataRb where [a+b] is an even number. ii. Determine vmetherthe relation R is reflexive, symmetric, and transitive and state the reason(s) for each relation. iii. Determine whether the R is equivalence relation and state the reason(s] {7' marks) b) Given A={2, 3, 5} and R={[2,2},{3,3], (5,5), (3,5),{5,3)} is equivalence relation on set A. i. List all the equivalence classes for A ii. Determine the partition of A. {4 marks} c] Evaluate trunc(|_5.6?J 2.35) [4-32J 2I_8.001 3.5] {4 marks) d) Givenafunction dened as f :9; _,[2'm), ovafunction f(x) = x?- +2 and ER is real number. i. Find the domain and range of 1'. ii. Determine whether i" is an onto function and state the reason{s]. iii. Determine whether 1*" is an one-toone function and state the reason(s). {6 marks)

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