Question

List all the elements of set A={x:x =2n, n€ N and n<=5

Answer 1

Therefore set A,

A ≡ {2, 4, 6, 8, 10}

Step-by-step explanation:

Set:

A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.

Natural Number:

The natural numbers include the positive integers, and a for example it includes 1, 2, 3, 4, 5, 6, .. ...  and so on.

In other words, natural numbers are a set of all the whole numbers excluding 0.

It is denoted by "N".

Given:

set A={x:x =2n, n€ N and n<=5}

x:x = 2n, means 'x' is such that x is twice of n.

n€ N and n<=5

It mean n belongs to Natural number which is less than 5 or equal to 5.

Therefore,

put n = 1, 2, 3, 4, 5 in 2n

2 × 1 = 2

2 × 2 = 4

2 × 3 = 6

2 × 4 = 8

2 × 5 = 10

Therefore set A,

A≡{2, 4, 6, 8, 10}

Answer 2

Step-by-step explanation:

A=(2,4,6,8,10)

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