Which of the following sets are equal - A - x - x - N - x -3-1-2C -3-1D - x - x - N - x is odd- x -5E -1-2-1-1- F -1-1-3

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Byju's Answer

Standard XII

Mathematics

Intervals in Set Builder Form

Which of the ...

Question

Which of the following sets are equal ?

$A = {x : x ϵ N, x < 3} = {1, 2},$

C= {3, 1}

D = { $x : x ϵ N$ , x is odd, x < 5}

E= {1, 2, 1, 1}, F = {1, 1, 3}.

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Solution

A = {1, 2}

B= {1, 2}

C= {3, 1}

D= {1, 3}

[ $b e c a u s e$ the odd natural numbers less than 5 are 1 and 3 ] E= {1, 2}

[ $∵$ repetition is nit allowed]

F= {1, 3}

[ $∵$ repetition is nit allowed]

$∴$ A, B and E are equal

Also, C, D and F are equal

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Which of the following sets are equal ? A={x:x ϵ N,x<3}={1,2}, C= {3, 1} D = {x:x ϵ N, x is odd, x < 5} E= {1, 2, 1, 1}, F = {1, 1, 3}.

A = {1, 2} B= {1, 2} C= {3, 1} D= {1, 3} [because the odd natural numbers less than 5 are 1 and 3 ] E= {1, 2} [∵ repetition is nit allowed] F= {1, 3} [∵ repetition is nit allowed] ∴ A, B and E are equal Also, C, D and F are equal

Which of the following sets are equal ?

$A = {x : x ϵ N, x < 3} = {1, 2},$

C= {3, 1}

D = { $x : x ϵ N$ , x is odd, x < 5}

E= {1, 2, 1, 1}, F = {1, 1, 3}.

A = {1, 2}

B= {1, 2}

C= {3, 1}

D= {1, 3}

[ $b e c a u s e$ the odd natural numbers less than 5 are 1 and 3 ] E= {1, 2}

[ $∵$ repetition is nit allowed]

F= {1, 3}

[ $∵$ repetition is nit allowed]

$∴$ A, B and E are equal

Also, C, D and F are equal