 # Types of Sets

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• Q1

Which of the following statement is False?

Marks:1

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:1

{x : x2 + 1 = 0, x R}.

##### Explanation:
x2+ 1 = 0 has no solution in R.
• Q3

Which of the following is an empty set?

Marks:1

The set of natural numbers satisfying the equation x2 + 5x + 6 = 0.

##### Explanation:

The roots of the equation x2 + 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:1

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 are

Marks:1