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Indicate whether the given statement is ...

Indicate whether the given statement is true or false :
{ Integers } ` sube ` {Whole numbers }

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To determine whether the statement "{ Integers } ⊆ { Whole numbers }" is true or false, we need to analyze the definitions of integers and whole numbers. ### Step-by-Step Solution: 1. **Define the Set of Integers**: - The set of integers includes all whole numbers and their negative counterparts. - Mathematically, it can be represented as: \[ \text{Integers} = \{..., -3, -2, -1, 0, 1, 2, 3, ...\} \] 2. **Define the Set of Whole Numbers**: - The set of whole numbers includes all non-negative integers starting from zero. - Mathematically, it can be represented as: \[ \text{Whole Numbers} = \{0, 1, 2, 3, ...\} \] 3. **Compare the Two Sets**: - Now we need to check if all elements of the set of integers are also in the set of whole numbers. - The whole numbers only include non-negative values (0 and positive integers), while integers include negative values as well. 4. **Conclusion**: - Since the integers include negative numbers (like -1, -2, etc.), which are not present in the set of whole numbers, we conclude that not all integers are whole numbers. - Therefore, the statement "{ Integers } ⊆ { Whole numbers }" is **false**. ### Final Answer: The statement is **false**. ---
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ICSE-SETS -EXERCISE 6 B
  1. Indicate whether the given statement is true or false : [Rhombuses ) ...

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  2. Indicate whether the given statement is true or false : [Natural nu...

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  3. Indicate whether the given statement is true or false : { Integers ...

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  4. Indicate whether the given statement is true or false : {Composite n...

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  5. Write down all possible subsets of each of the sets given below : ...

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  6. Write down all possible subsets of each of the sets given below : ...

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  7. Write down all possible subsets of each of the sets given below : ...

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  8. Write down all possible subsets of each of the sets given below : ...

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  9. Write down all possible subsets of each of the sets given below : ...

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  10. Write down all possible subsets of each of the sets given below : ...

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  11. Write down all possible proper subsets of each of the sets given below...

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  12. Write down all possible proper subsets of each of the sets given below...

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  13. Write down all possible proper subsets of each of the sets given below...

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  14. Write down all possible proper subsets of each of the sets given below...

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  15. Write down : The sets C of letters of the word ' PAPAYA '

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  16. Write down : All subsets of C , C={P,A,Y}

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  17. The set C is letters of the word, PAPAYA Write down : All proper...

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  18. How many subsets in all are there of a set containing 4 elements ?

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

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

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