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Write which of the following statements are true? Justify your answer: The set of all real numbers is contained in the set of all complex numbers.

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To determine whether the statement "The set of all real numbers is contained in the set of all complex numbers" is true, we can analyze the definitions of both sets. ### Step-by-Step Solution: 1. **Define the Sets**: - The set of all real numbers is denoted by \( \mathbb{R} \). - The set of all complex numbers is denoted by \( \mathbb{C} \). ...
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RD SHARMA-SETS-Solved Examples And Exercises
  1. Write which of the following statements are true? Justify your answer:...

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  2. Write which of the following statements are true? Justify your answer:...

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  3. Write which of the following statements are true? Justify your answer:...

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  4. Write which of the following statements are true? Justify your answer:...

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  5. Write which of the following statements are true? Justify your answer:...

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  6. Which of the following statements are correct? Write a correct form of...

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  7. Which of the following statements are correct? Write a correct form of...

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  8. Which of the following statements are correct? Write a correct form of...

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  9. Let A={a , b ,{c , d},\ e} . Which of the following statements are fal...

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  10. Let A={a , b ,{c , d},\ e} . Which of the following statements are fal...

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  11. Let A={a , b ,{c , d},\ e} . Which of the following statements are fal...

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  12. Let A={{1,2,3},\ {4,5},\ {6,7,8}}dot Determine which of the following ...

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  13. Let A={{1,2,3},\ {4,5},\ {6,7,8}}dot Determine which of the following ...

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  14. Let A={phi,{phi},1,{1,phi},2}dot Which of the following are true? phi...

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  15. Let A={phi{phi},1,{1,phi},2}dot Which of the following are true? {{2},...

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  16. Let A={phi,{phi},1,{1,phi},2}dot Which of the following are true? {1}s...

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  17. Write down all possible subset of each of the following set: {0,1}

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  18. Write down all possible subset of each of the following set: {1,{1}}

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  19. Write down all possible subset of each of the following set: {phi}

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  20. Write down all possible subset of each of the following set: {a , b , ...

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