Types of Sets
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Q1
Which of the following statement is False?
Marks:1Answer:
If A = {x :  x  < 2, x I}, B = {1, 1), then A = B.
Explanation:
A = {x :  x  < 2, x I} = {1, 0, 1}
Here, the elements 0 belong to the set A but it does not belong to the set B.
So, the sets A and B are not equal sets.

Q2
Which of the following is a null set?
Marks:1Answer:
{x : x^{2} + 1 = 0, x R}.
Explanation:
x^{2}+ 1 = 0 has no solution in R. 
Q3
Which of the following is an empty set?
Marks:1Answer:
The set of natural numbers satisfying the equation x^{2} + 5x + 6 = 0.
Explanation:
The roots of the equation x^{2} + 5x + 6 = 0 is x = 2, 3 which are not natural numbers.
So, the given set is an empty set.

Q4
If A = {14, 18, 22, 26} and B = {18, 14, 26, 22} then
Marks:1Answer:
A and B are equal sets.
Explanation:
Here A and B are equal sets as these two contain same elements.

Q5
(I) A = {4, 6, 7, 9, 10}
(II) B = {a, b, c, 10, 9}
(III) C ={9, 3, 6, 4, 2, 1}
From the above data, equivalent sets areMarks:1Answer:
A and B.
Explanation:
Both A and B contain equal number of elements all of which are not identical. So A and B are equivalent sets.