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Decide which of the following are equal sets and which are not ? Justify your answer. A= {x | 3x – 1 = 2} B = {x | x is a natural number but x is neither prime nor composite} C = {x | x e N, x < 2} |
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Answer» A = {x | 3x – 1 = 2} Here, 3x – 1 = 2 ∴ 3x = 3 ∴ x = 1 ∴ A = {1} …(i) B = {x | x is a natural number but x is neither prime nor composite} 1 is the only number which is neither prime nor composite, ∴ x = 1 ∴ B = {1} …(ii) C = {x | x G N, x < 2} 1 is the only natural number less than 2. ∴ x = 1 ∴ C = {1} …(iii) ∴ The element in sets A, B and C is identical. … [From (i), (ii) and (iii)] ∴ A, B and C are equal sets |
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