(ii) Equivalent Sets can have different or same elements but have the same amount of
elements.
We have,
C = {x : x ε N, x < 3}
Natural numbers = 1, 2, 3, 4, …
Natural numbers less than 3 (x < 3) = 1, 2
So, C = {1, 2}
and D ={x : x ε W, x < 3}
Whole numbers = 0, 1, 2, 3, 4, …
Whole numbers less than 3 (x < 3) = 0, 1, 2
So, D = {0, 1, 2}
∴ C and D are not equivalent sets because their cardinality is not same.
Which of the following are pairs of equivalent sets?(ii) C = {x : x ε N, x < 3} and D ={x : x ε W, x < 3}
Which of the following are pairs of equivalent sets?(ii) C = {x : x ε N, x < 3} and D ={x : x ε W, x < 3}