Question

A= {2,4,6,8,10,12,14} write in rule method ?​

Answer 1

Given data:

$\mathsf{A=\{2,4,6,8,10,12,14\}}$

To find:

Express the set $\mathsf{A}$ in rule method

Step-by-step explanation:

• The rule method or the set builder method states that a set is to be written by its definition or conditions.

• Here we see that the elements $\mathsf{2,4,...,14}$ are multiplies of $\mathsf{2}$ and thus the set is to be expressed as a multiple of $\mathsf{2}$, certainly with a limit.

So, $\mathsf{A=\{2,4,6,8,10,12,14\}}$

$\mathsf{\Rightarrow A=\{x:x=2n,n\in\mathbb{N}\:and\:n=1,2,...,7\}}$

or, $\mathsf{A=\{x:x=2n,n\in\mathbb{N}\:and\:1\leqslant n\leqslant 7\}}$

Final Answer:

$\mathsf{A=\{x:x=2n,n\in\mathbb{N}\:and\:n=1,2,...,7\}}$

or, $\mathsf{A=\{x:x=2n,n\in\mathbb{N}\:and\:1\leqslant n\leqslant 7\}}$

Answer 2

Answer:

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