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State in each case, whether the given st...

State in each case, whether the given statement is true or false :
` 0 in phi `

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To determine whether the statement "0 in φ" is true or false, we need to understand what φ (phi) represents in set theory. ### Step-by-Step Solution: 1. **Understanding φ (phi)**: - The symbol φ represents the empty set. The empty set is defined as a set that contains no elements at all. 2. **Identifying the Elements of φ**: - Since φ is the empty set, it does not contain any elements, including the number 0. 3. **Evaluating the Statement**: - The statement "0 in φ" means that we are claiming that 0 is an element of the empty set. Since we established that the empty set contains no elements, this statement must be false. 4. **Conclusion**: - Therefore, we conclude that the statement "0 in φ" is false. ### Final Answer: The statement "0 in φ" is **false**.
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ICSE-SETS -EXERCISE 6A
  1. Identify the null sets among the following E = {x: x is a perfect s...

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  2. Identify the null sets among the following F = {x : x in N , 5 lt...

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  3. Identify whether the given pair consists of equal or equivalent but no...

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  4. Identify whether the given pair consists of equal or equivalent but no...

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  5. Identify whether the given pair consists of equal or equivalent but no...

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  6. Identify whether the given pair consists of equal or equivalent but no...

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  7. Identify whether the given pair consists of equal or equivalent but no...

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  8. For each of the following pairs of sets , identify the disjoint and o...

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  9. For each of the following pairs of sets , identify the disjoint and o...

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  10. For each of the following pairs of sets , identify the disjoint and o...

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  11. For each of the following pairs of sets , identify the disjoint and o...

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  12. State whether the given statement is true or false : If A is the se...

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  13. State in each case, whether the given statement is true or false : ...

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  14. State whether the given statement is true or false : If C is the se...

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  15. State in each case, whether the given statement is true or false : {...

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  16. State in each case, whether the given statement is true or false : ...

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  17. State in each case, whether the given statement is true or false : [...

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  18. State in each case, whether the given statement is true or false : [...

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  19. State in each case, whether the given statement is true or false : ...

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  20. State in each case, whether the given statement is true or false : ...

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