[3+4+3 = 10 marks] (a) True or false? If you state true, then prove it, otherwise provide a counterexample. Given A, B, C C X, and a function f : X→ X. Then AnB‡0 ⇒ f(A)n f(BUC) = 0). 1 = x 1+x² (b) Given the set S = [-1,1] and the function g: S→ R defined by g(x) that g is one-to-one, and find g(S). prove (c) Find simple descriptions for each of the sets - U [ ₁ - 1 ₁ x + 1) ~ N [ ² - 1 - ² + 1) and n n nEN NEN for x € R.