Question

Q.1) Which of the following are empty sets. (i) B = { x|x is a natural number between 2 and 3.} (ii) A = { x|x is a whole number less than 1 } Q.2) Write the following sets in listing method and state which of them are finite or infinite. (i) E = { x|x I, x2 = 100} (ii) C = { x|x N , x is divisible by 7.} Q.3) If A = { 1,3,4,7,8 } Write any 5 subsets of A.​

Answer 1

Answer:

Which of the following are empty sets ? why ?

( i ) A = { a | a is a natural number smaller than zero.}

( ii ) B = { x | x 2 = 0}

( iii ) C = { x | 5 x - 2 = 0, x∈N}

ANSWER:

(i) A = {a | a is a natural number smaller than zero.} = {}

So, A is an empty set.

(ii) B = {x | x2 = 0} = {0}

So, B is not an empty set.

(iii) C = {x | 5x - 2 = 0, x∈N} = {}

So, C is an empty set.

Step-by-step explanation:

Write any two sets by listing method and by rule method.

ANSWER:

(i) A = {6, 7, 8, 9}

A = {x | x ∈∈ N and 5 < x < 10}

(ii) B = {a, e, i, o, u}

B = {y | y is vowel of English alphabet}

Answer 2

Answer:

Q.1)

B. is an empty set.

Q.2) E = { 10 } - Finite set

C = { 7, 14, 21, ...} - Infinite set

Q.3) P = {1 4 7}; Q = {3 4 8}; R = { 3,4 }; S= { 1,8 }; T = {3,8}.

Hope it helps champ :)