Question

EXERCISE 1 (b)
1. Which of the following sets are empty sets ?
(1) A = {x:r? - 5 = 0 and x is rational}
(ii) B = {x:x2 = 26, and x is an odd integer}
Set of all even natural numbers divisible by 10
{x:x is a natural number, x < 6 and simultaneously x > 18}
2. State which of the following sets are finite or infinite :
(i) {x:x E N and (x - 1) (x - 2) = 0}
(ii) {x : x E N and x2 = 4}
(iii) {x:X E N and 2 x - 1 = 0}
(iv) {x:x E N and x is prime}
{x:XEN and x is odd)
3. Which of the following sets are finite or infinite ?
(1) The set of months of a year
(ii) {1,2,3,.....)
(iii) {1,2,3,....., 99, 100}
(iv) The set of positive integers greater than 100
(V) The set of prime numbers less than 99.
4. State whether each of the following set is finite or infinite :
(1) The set of lines which are parallel to x-axis (ii) The set of letters in the English alphabet
(i) The set of numbers which are multiples of 5 (iv) The set of animals living on the earth
(v) The set of circles passing through the origin (0,0).​

Answer 1

Answer:

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Answer 2

Answer:

1) The set of lines which are parallel to x-axis