Which of the following sets are equal?

Question:

Which of the following sets are equal?

A = {x : x ∈ Nx, < 3},

B = {1, 2}

C = {3, 1}

D = {x : x ∈ Nx is odd, x < 5},

E = {1, 2, 1, 1} F = {1, 1, 3}.

Solution:

A = {1, 2}

B = {1, 2}

C = {3, 1}

D = {1, 3}

E = {1, 2, 1, 1} = {1, 2}

F = {1, 1, 3} = {1, 3}

∴ A = B = E and C = D = F

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