Statement (A): If A = (x:x is a letter of the word ALGEBRA} and [ ] B = {x: x is a letter of the word BANGALORE), then A B = {A, B, E, G, L, R} Statement (B) : If A and B are two sets, then the condition that they are to be disjoint sets, is A - B = A. a) Both A and B are true b) Both A and B are false c) A is true and B is false d) A is false and B is true
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Answer:
The answer is (c) A is true and B is false.
Statement (A) is true. The sets A and B are disjoint, meaning that they have no elements in common. Therefore, the union of A and B is simply the set of all elements in A and B. This set is {A, B, E, G, L, R}.
Statement (B) is false. If A and B are disjoint sets, then A - B = A is only true if B is the empty set. In other words, the only way for A and B to be disjoint and for A - B = A is for B to contain no elements.
Therefore, statement (A) is true and statement (B)
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