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Which of the following statements are tr...

Which of the following statements are true ?
`phi in {a,b,c} `

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The correct Answer is:
To determine whether the statement "φ ∈ {a, b, c}" is true or false, we need to analyze the meaning of the symbols involved. ### Step-by-Step Solution: 1. **Understanding φ (phi)**: - The symbol φ (phi) represents the empty set, which is a set that contains no elements. 2. **Understanding the Set {a, b, c}**: - The set {a, b, c} contains three elements: a, b, and c. 3. **Determining Membership**: - The statement "φ ∈ {a, b, c}" means we are checking if the empty set (φ) is an element of the set {a, b, c}. 4. **Analyzing the Membership**: - The elements of the set {a, b, c} are a, b, and c. The empty set (φ) is not one of these elements. 5. **Conclusion**: - Since φ is not one of the elements in the set {a, b, c}, the statement "φ ∈ {a, b, c}" is false. ### Final Answer: The statement "φ ∈ {a, b, c}" is **false**. ---
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ICSE-SETS -EXERCISE 6 B
  1. How many subsets in all are there of a set containing 4 elements ?

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  2. How many subsets in all are there of a set with cardinal number 6?

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  3. How many proper subsets in all are there of a set containing 3 element...

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  4. How many proper subsets in all are there of a set with cardrinal numbe...

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  5. Which of the following statements are true ? { a} sub {a,b,c,}

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  6. Which of the following statements are true ? {a} sub {b,c,d,e}

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  7. Which of the following statements are true ? phi sub {a,b,c}

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  8. Which of the following statements are true ? phi in {a,b,c}

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  9. Which of the following statements are true ? 0 cancel in phi

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  10. Which of the following statements are true ? {1} sub {0,1}

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  11. Which of the following statements are true ? Every subset of a fin...

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  12. Which of the following statements are true ? Every subset of an infi...

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  13. Let A = { 1,2,3,4,5,6,7,8,9 , 10 ,1 1 , 12, } Write the subset of ...

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  14. Let A = { 1,2,3,4,5,6,7,8,9 , 10 ,1 1 , 12, } Write the subset of ...

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  15. Let A = { 1,2,3,4,5,6,7,8,9 , 10 ,1 1 , 12, } Write the subset of ...

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  16. Let U= { 5,6,7,8,9 , 10 , 11 , 12 ,13 ,14 , 15 , 16} be the universal...

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  17. Let the set I of all integers be the universal set and let A ={x: x ...

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  18. Suggest a universal set for the sets given below : (5,7,9) , (3,5,...

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  19. Suggest a universal set for the sets given below : [ odd number...

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  20. Suggest a universal set for the sets given below : [vowels in Engli...

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