ASSIGNMENT
01. Write the roster form of = {x/x E N and 5 < x2 < 50}.
02. Give example of two sets whose intersection is an empty set.
Answers
Answer:
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Step-by-step explanation:
ANSWER ::
1.{ 3, 4, 5 , 6 ,7 }
2. Let A = { 1,2,3,4 } & B = { 5, 6,7}
Then Intersection is empty
The answers are given below:
1. There are two ways to represent a set:
a) Set roster form – In this form of set representation, the elements of the set are directly given.
b) Set-builder form - In this form of set representation, a description of the elements of the set is given.
The given set is in set-builder form = {x|x ∈ N and 5<x²<50}
The numbers whose square is greater than 5 and less than 50 = 3, 4, 5, 6, and 7.
Hence, the set in roster form = {3, 4, 5, 6, 7}.
2. Consider two set, A = {1, 2, 3} and B = {7, 8, 9}.
We observe that there are no elements common in sets A and B.
Hence, A∩B = Ф.
Hence, the required sets are A = {1, 2, 3} and B = {7, 8, 9}.
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