If $A$ is the set of letters in the word FINITE and $B$ is the set of letters in the the word INFINITE. Whether $A$ and $B$ are equal or equivalent set. Justify your answer.

Given: $A$ is the set of letters in the word FINITE and $B$ is the set of letters in the the word INFINITE. 

To do: To check whether $A$ and $B$ are equal or equivalent set.

Solution:

Letters in the word FINITE$=$F, I, N, I, T, E

Therefore, $A=${E, F, I, N, T}

Letters in the word INFINITE$=$I, N, F, I, N, I, T, E

Therefore, $B=${E, F, I, N, T}

Here, we find $A=B=${E, F, I, N, T}

Thus, $A$ and $B$ are equal or equivalent set.

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Updated on: 10-Oct-2022

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