Question

Is {1,1,1,10}={1,1,1,1,10}?Justify your answer

Answer 1

Answer on Question #71610 – Math – Discrete Mathematics

Question

Is $\{1,1,1,10\} = \{1,1,1,1,10\}$? Justify your answer

Solution

$1 \in \{1,1,1,10\} \leftrightarrow 1 \in \{1,1,1,1,10\}$ and $10 \in \{1,1,1,10\} \leftrightarrow 10 \in \{1,1,1,1,10\}$

Hence Axiom of extensionality implies that $\{1,1,1,10\} = \{1,1,1,1,10\}$.

Answer: Yes.

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