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Sets — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSets2 Marks
Question
State which the following statement is true and false. Justify your answer.
128 ∈ {y | the sum of all the positive factors of y is 2y}.
✓

Answer

128 ∈ {y | the sum of all the positive factors of y is 2y}
$\therefore$ Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128.
Sun of all the factors = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128
$=255\neq2\times128$
Hence the given statement is 'False'.

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