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Examine whether the following statements...

Examine whether the following statements are true or false:
i) '{a, b} not a subset of {b, c, a}'
ii) '{a,e} is a subset of {x: x' is a vowel in the English alphabet}
iii) '{1,2,3} is a subset of {1,3,5}'
iv) '{a} is a subset of {b,c}'
v) '{a}is a subset of {a, b, c}'
vi) {x: x is an even natural number less than 6}is a subset of ` {x: x is a natural number which divides 36}

Text Solution

Verified by Experts

i) false
ii) true
iii) false
iv) true
v) false
vi) true
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V PUBLICATION-SETS-QUESTION BANK
  1. In each of the following , determine whether the statement is true or ...

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  2. Make correct statements by filling in the symbols 'subset' or 'not a s...

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  3. Examine whether the following statements are true or false: i) '{a, b}...

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  4. Let A={1,2,{3,4},5}. Which of the following statement are incorrect an...

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  5. Write down all the subsets of the following sets {a}

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  6. How many elements has P(A), if A=phi?

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  7. Write the following as intervals i) {x: x in R,-4 lt x le 6} ii) {x: ...

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  8. Write the following intervals in set-builder form: (i) '(-3,0)' (ii)...

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  9. Write the following intervals in set-builder form: (i) (-3,0) (ii) [...

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  10. What universal set(s) would you propose for each of the following. (i...

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  11. Given the set A={1,3,5},B={2,4,6} and C={0,2,4,6,8}, which of the foll...

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  12. Let A={2,4,6,8} and B={6,8,10,12 }. Find A uu B.

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  13. Let A= {a, e, i, o, u} and B={a, i, u}. Show that A uu B=A

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  14. Let A= {Ram,Geeta, Akbar} be the set of students of class XI, who are ...

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  15. Consider the sets 'A' and 'B' of Example 12. Find 'A nn B'.

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  16. Coňśider the sets 'X' and 'Y' of. Find 'X nn Y'

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  17. Let U = {1,2,3,4,5,6,7}, A = {1,5,6} and B = {1,2,6,7}Find A cap B

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  18. Let ' V={a, e, i, o, u}' and 'B={a, i, k, u} .' Find 'V-B' and 'B-V

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  19. Find the union of each of the following pairs of sets: i) X={1,3,5} ...

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  20. Let 'A={a, b}, B={a, b, c} . ' Is 'A ⊂ B ?' What is 'A ∪ B ?'.

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