Find the cardinal number of the following set | vedclass

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(B) The set is defined as $S = \{x: x = 2n, n \in N, 4 \leq x \leq 11\}$.Since $n \in N$ (natural numbers),we test values of $n$ such that $4 \leq 2n

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(B) The set is defined as $S = \{x: x = 2n, n \in N, 4 \leq x \leq 11\}$.Since $n \in N$ (natural numbers),we test values of $n$ such that $4 \leq 2n \leq 11$.Dividing the inequality by $2$,we get $2 \leq n \leq 5.5$.Since $n$ must be a natural number,the possible values for $n$ are $2, 3, 4, 5$.For $n = 2, x = 2(2) = 4$.For $n = 3, x = 2(3) = 6$.For $n = 4, x = 2(4) = 8$.For $n = 5, x = 2(5) = 10$.The set is $S = \{4, 6, 8, 10\}$.The cardinal number of a set is the number of elements in the set.Therefore,the cardinal number is $4$.

Find the cardinal number of the following set ${x: x = 2n, n \in N, 4 \leq x \leq 11}$.

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