Question

write the following set in rule method A={1,4,9,16,25,36,49,64,81,100}

Answer 1

(x belong to natural no. x is such that x square )

Answer 2

Answer:

The given set in rule method is $A =\{x | x = n^2 , n \in N, n < 10\}$

Step-by-step explanation:

Given a set of data: A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

• Two methods are used to represent a set of data - roster form or listing method and set-builder form or rule method.
• In listing method, all the data of a set are listed in a row separated with a comma inside the curly brackets.
• In rule method, the data of a set are described by a statement or an expression that represent all the data.

In the given set, the common property of the data is that, all they are the squares of the natural numbers, numbers taken up to 10.

Therefore, the given set in rule method can be represented as

$A =\{x | x = n^2 , n \in N, n < 10\}$

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