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If n(P) = n(M), then P → M....

If n(P) = n(M), then P `→` M.

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To solve the problem, we need to determine if the statement "If n(P) = n(M), then P is equivalent to M" is true. Here’s a step-by-step breakdown of the solution: ### Step 1: Understand the notation - **n(P)** represents the number of elements in set P. - **n(M)** represents the number of elements in set M. - The statement says that if the number of elements in set P is equal to the number of elements in set M, then we need to check if P is equivalent to M. ### Step 2: Define equivalent sets - Two sets are considered **equivalent** if they have the same number of elements, regardless of what those elements are. ### Step 3: Analyze the given condition - We are given that **n(P) = n(M)**. This means that both sets have the same number of elements. ### Step 4: Apply the definition of equivalent sets - Since we established that if two sets have the same number of elements, they are equivalent, we can conclude that: - Since n(P) = n(M), it follows that P is equivalent to M. ### Step 5: Conclusion - Therefore, we can state that the statement "If n(P) = n(M), then P is equivalent to M" is **true**. ### Final Answer - **True**: P is equivalent to M. ---
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ICSE-SETS -EXERCISE 6(B)
  1. State, whether the following pairs of sets are equivalent or not: P=...

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  2. State, whether the following pairs of sets are equal or not: A={2,4,...

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  3. State, whether the following pairs of sets are equal or not: M={x:x i...

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  4. State, whether the following pairs of sets are equal or not: E={x:x^(...

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  5. State, whether the following pairs of sets are equal or not: A={x:x i...

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  6. State whether each of the following sets is a finite set or an infinit...

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  7. State whether each of the following sets is a finite set or an infinit...

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  8. State whether each of the following sets is a finite set or an infinit...

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  9. State whether each of the following sets is a finite set or an infinit...

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  10. State whether each of the following sets is a finite set or an infinit...

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  11. {x : x =(n-2)/(n+1), n in W}

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  12. Answer, whether the following statements are true or false. Give reaso...

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  13. If E = {factors of 16} and F = {factors of 20}, then E = F.

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  14. The set A = {integers less than 20} is a finite set.

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  15. If A = {x: x is an even prime number}, then set A is empty.

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  16. The set of odd prime numbers is the empty set.

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  17. The set of squares of integers and the set of whole numbers are equal ...

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  18. If n(P) = n(M), then P → M.

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  19. If set P = set M, then n(P) = n(M).

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  20. n(A) = n(B) rArr A=B

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