1. Given three non-empty sets A, B and C, explain the following using set builder notations....

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1. Given three non-empty sets A, B and C, explain the following using set builder notations. (i) AUB (ii) AnB (iii) A-B (iv) A B Based on your definition, find the result of (i) to (iv) if A= (0, 2, 4, 6, 8, 10 and B= (0, 1, 2, 3, 4, 5, 6) 2. Decide whether or not f is a function from R to R if: (i)f(x) = (i)f(x) = x +1 (iii) f(x)=x 1 3. Solve the recurrence relation below together with the initial conditions given. a = 7an-1-10an-2 for n 2, a, = 2,a = 1 4. Using either the forward substitution iterative approach, solve the recurrence relation T = 27-1+k, T = 1 1. Given three non-empty sets A, B and C, explain the following using set builder notations. (i) AUB (ii) AnB (iii) A-B (iv) A B Based on your definition, find the result of (i) to (iv) if A= (0, 2, 4, 6, 8, 10 and B= (0, 1, 2, 3, 4, 5, 6) 2. Decide whether or not f is a function from R to R if: (i)f(x) = (i)f(x) = x +1 (iii) f(x)=x 1 3. Solve the recurrence relation below together with the initial conditions given. a = 7an-1-10an-2 for n 2, a, = 2,a = 1 4. Using either the forward substitution iterative approach, solve the recurrence relation T = 27-1+k, T = 1