Set operations, types of relations, domain/range, composite and inverse functions.
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Q1 · Sets, Relations and Functions (Class 11 — ~20% weight) · EASY
If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, then find (A - B) ∪ (B - A).
Q2 · Sets, Relations and Functions (Class 11 — ~20% weight) · MEDIUM
Let f: R → R be defined by f(x) = 3x + 5 and g: R → R be defined by g(x) = x² - 2. Find (g ∘ f)(1).
Q3 · Sets, Relations and Functions (Class 11 — ~20% weight) · HARD
Let R be a relation on the set A = {1, 2, 3, 4, 5} defined by R = {(x, y): y = x + 2}. Which of the following statements is true about R?
Q4 · Sets, Relations and Functions (Class 11 — ~20% weight) · MEDIUM
If n(A) = 5 and n(B) = 3, then the number of subsets of A × B having at least 4 elements is: