Web2 dagen geleden · Lady Blue Devils cruise past Carver in rd. 1. Janie Voyles dribbles inside for one of her two goals in a 10-0 win over Carver Atlanta in the first round of 3A state playoffs. Bremen's girls soccer ... Web9 aug. 2024 · A × A = (B × B) ∩ (C × C) It is proved. Question 5. Given A = {1, 2, 3}, B = {2, 3, 5}, C = {3, 4} and D = {1, 3, 5}, check if (A ∩ C) x (B ∩ D) = (A × B) ∩ (C × D) is true? Solution: LHS = { (A∩C) × (B∩D) A ∩C = {3} B ∩D = {3,5} (A ∩ C) × (B ∩ D) = { (3, 3) (3, 5)} … (1) RHS = (A × B) ∩ (C × D)
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WebIf A = {–1, 1}, find A × A × A. Solution : It is known that for any non-empty set A, A × A × A is defined as A × A × A = { (a, b, c): a, b, c ∈ A} It is given that A = {–1, 1} ∴ A × A × A = { (–1, –1, –1), (–1, –1, 1), (–1, 1, –1), (–1, 1, 1), (1, –1, –1), (1, –1, 1), (1, 1, –1), (1, 1, 1)} Question6. If A × B = { (a, x), (a , y), (b, x), (b, y)}. Web34 MATHEMATICS 10. The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0,1). Find the set A and the remaining elements of A × A. 2.3 Relations Consider the two sets P = {a, b, c} and Q = {Ali, Bhanu, Binoy, Chandra, Divya}.The cartesian product of Web10. The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0, 1). Find the set A and the remaining elements of A × A. Solution: We know that, If n(A) = p and n(B) = q, then n(A × B) = pq. Also, n(A × A) = n(A) × n(A) Given, n(A × A) = 9 So, n(A) × n(A) = 9 Thus, n(A) = 3 Also given that, the ordered pairs (–1 ... kids mixed media collage