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State which of the following statements are true and which are false. Justify your answer. (i) 37 ∉ {x | x has exactly two positive factors} (ii) 28 ∈ {y | the sum of the all positive factors of y is 2y} (iii) 7,747 ∈ {t | t is a multiple of 37} |
Answer» (i) False Since, 37 has exactly two positive factors, 1 and 37, 37 belongs to the set. (ii) True Since, the sum of positive factors of 28 = 1 + 2 + 4 + 7 + 14 + 28 = 56 = 2(28) (iii) False 7,747 is not a multiple of 37 |
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