If $A$ = { $x : x = 7 n - 1, n \in W, n < 6$ }, then which of the following statements is NOT correct?

- 1 \in A

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26 \in A

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{6, 20, 27}

\subseteq A

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{ }

\subseteq A

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Solution

The correct option is B $26 \in A$
$A$ = { $x : x = 7 n - 1, n \in W, n < 6$ }
$A$ = {-1, 6, 13, 20, 27, 34}
Element -1 is in set $A$ .

$∴$ -1 $\in$ $A$

Element 26 is not in set $A$ .

$∴$ 26 $\notin$ $A$

Elements 6, 20 and 27 are in set $A$ .

$∴$ {6, 20, 27} $\subseteq$ $A$

The empty set is a subset of every set.

$∴$ { } $\subseteq$ $A$

Hence, among the given options, option (b) is not correct.

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If A = {x:x=7n−1,n∈W,n<6}, then which of the following statements is NOT correct?

If $A$ = { $x : x = 7 n - 1, n \in W, n < 6$ }, then which of the following statements is NOT correct?