Q.1 A) Attempt any four of the following.
1) Write the following sets using rule method.
{3, 6, 9, 12, 15, 18, 21}
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hi mate your answer is
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The rule method for writing the set {3,6,9,12,15,18,21} is :
Given: The set {3, 6, 9, 12, 15, 18, 21}.
To Find: The rule method of the set {3, 6, 9, 12, 15, 18, 21}.
The answer to the question can be found easily by implementing the rule method.
- We know in the rule method that the formula written within the pair of brackets is such that it well defines the elements of the given set.
- Here as we can see the elements are the multiples of 3 and they are defined till the 7th multiple of 3.
- Thus, we can express condition 2 (above point 2) in the following way:
A= { x | x = 3n, x ∈ N , n < 8 }
- Hence, The rule method for writing the set {3,6,9,12,15,18,21} is:
A= { x | x = 3n, x ∈ N , n < 8 }
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