Question

if the given sets are equal or not​

Answer 1

Answer:

first one is equal

second is also equal

third is not equal

Answer 2

Step-by-step explanation:

I)

Given sets are :

A ={ x/x is a letter of the word 'listen'}

=> A = { l,i,s,t,e,n} ------------(1)

B = { y/y is a letter of the word 'silent'}

=> B = { s,i,l,e,n,t} ----------(2)

From (1)&(2)

Every element of A is in B and Every element of B is in A .

=> A and B are equal sets

Therefore, A = B

ii)

Given sets are :

A ={ x/x = 2n ,n € N , 0< x≤10}

=> A = { 2,4,6,8,10} ------------(1)

B = { y/y is an even number ,1≤y≤10}

=> B = { 2,4,6,8,10} ----------(2)

From (1)&(2)

Every element of A is in B and Every element of B is in A .

=> A and B are equal sets

Therefore, A = B

3)

Given sets are :

C = { 1,3,5,7} ------------(1)

D = { 2,3,5,7} ----------(2)

From (1)&(2)

Every element of C is not in D and Every element of D is not in C

=> C and D are not equal sets

Therefore, C ≠ D

Answer:-

I) A and B are equal sets

ii) A and B are equal sets

iii) C and D are not equal sets

Used formulae:-

Equal sets :-

If A and B are two non empty sets then

Every element of A is in B and Every element of B is in A then A amd B are equal sets and it is denoted by A = B .