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1. Sets
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Q7 of 162 Page 2

Write the set in the set-builder form.

Here we can see denominator is square of numerator +1.


We can set builder form as


⇒


More from this chapter

All 162 →
5

Write the set of all vowels in the English alphabet which precede q.

6

Write the set of all positive integers whose cube is odd.

1

Which of the following are examples of empty set?

(i) Set of all even natural numbers divisible by 5.


(ii) Set of all even prime numbers.


(iii) {x:x2–2=0 and x is rational}.


(iv) {x:x is a natural number, x < 8 and simultaneously x > 12}.


(v) {x:x is a point common to any two parallel lines}.

2

Which of the following sets are finite and which are infinite?

(i) Set of concentric circles in a plane.


(ii) Set of letters of the English Alphabets.


(iii) {x ∈ N : x > 5}


(iv) {x ∈ N : x < 200}


(v) {x ∈ Z: x < 5}


(vi) {x ∈ R:0 < x < 1}.

Questions · 162
1. Sets
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