Set and its Representation
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Q1
The set of rational numbers between 6 and 7 in setbuilder notation is represented as
Marks:1Answer:
{x: x Q, 6 < x < 7 }.
Explanation:
The given set consists of rational numbers between 6 and 7, so 6 and 7 are not included. Hence, (d) is the correct choice.

Q2
The set Z = {2, 3, 4, 5, 6, 7, 8, 9, 10} in setbuilder notation is represented as
Marks:1Answer:
Z = {x: x N, 2 x 10}.
Explanation:
The given set consists of natural numbers which begin with 2 and do not exceed 10. Hence, (a) is the correct choice.

Q3
The set {x : x is an even prime number} can be written as
Marks:1Answer:
{2}
Explanation:
2 is the only even prime number so {2} is required answer. 
Q4
The set A = {x: x N; x^{2 }< 25} in roster form is represented as
Marks:1Answer:
{1, 2, 3, 4}.
Explanation:
x is a number whose square is less than 25. The square of 5 is 25. Therefore, the natural numbers less than 5 constitute the set. 
Q5Marks:1
Answer:
Explanation: