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Indicate whether the given statement is ...

Indicate whether the given statement is true or false :
{Composite number } ` sube ` {Odd numbers}

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To determine whether the statement "{Composite number} ⊆ {Odd numbers}" is true or false, we need to analyze the definitions of composite numbers and odd numbers. ### Step-by-Step Solution: 1. **Define Composite Numbers**: - Composite numbers are numbers that have more than two distinct positive divisors, meaning they can be divided evenly by numbers other than 1 and themselves. - Examples of composite numbers include: 4, 6, 8, 9, 10, 12, etc. 2. **Define Odd Numbers**: - Odd numbers are integers that are not divisible by 2. They have the form of 2n + 1, where n is an integer. - Examples of odd numbers include: 1, 3, 5, 7, 9, 11, etc. 3. **Identify the Sets**: - Let Set A = {Composite numbers} = {4, 6, 8, 9, 10, 12, ...} - Let Set B = {Odd numbers} = {1, 3, 5, 7, 9, 11, ...} 4. **Check for Subset Relationship**: - For Set A to be a subset of Set B, every element in Set A must also be in Set B. - We can see that: - 4 is in Set A but not in Set B. - 6 is in Set A but not in Set B. - 8 is in Set A but not in Set B. - 9 is in both sets, but that is not sufficient to prove Set A is a subset of Set B. 5. **Conclusion**: - Since there are elements in Set A (like 4, 6, and 8) that are not present in Set B, we conclude that Set A is not a subset of Set B. - Therefore, the statement "{Composite number} ⊆ {Odd 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 : [Natural nu...

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

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

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

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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 proper 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 : The sets C of letters of the word ' PAPAYA '

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

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

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

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

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

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

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