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Sets — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSets1 Mark
Question
Taking the set of natural numbers as the universal set, write down the complement of the set: $\{ x:x \ge 7\}$
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Answer

Here $U = \{ x:x \in N\}$
Let $A = \{ x:x \geqslant 7\} = \{ 7,8,9,10,......\}$
$A' = U - A = \{ x:x \in N\} - \{ 7,8,9,10,.....\}$
= {1, 2, 3, 4, 5, 6}
= {$x:x \in N$ and x < 7}

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