List the elements of A = {x = n^2, x€N, n less than 5
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Answer:
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
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