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If A={1,3,5,7,9}, then write which of th...

If `A={1,3,5,7,9}`, then write which of the following statements are true and which are false :
`3,9 in A`

A

TRUE

B

FALSE

C

may or may not be

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To determine whether the statements "3 in A" and "9 in A" are true or false, we can follow these steps: ### Step 1: Identify the set A We have the set A defined as: \[ A = \{1, 3, 5, 7, 9\} \] ### Step 2: Check if 3 is in A We need to see if the number 3 is one of the elements in set A. Looking at the elements of A: - The elements are 1, 3, 5, 7, and 9. - Since 3 is listed as one of the elements, we conclude that: \[ 3 \in A \] (True) ### Step 3: Check if 9 is in A Next, we check if the number 9 is also one of the elements in set A. Again, looking at the elements of A: - The elements are 1, 3, 5, 7, and 9. - Since 9 is listed as one of the elements, we conclude that: \[ 9 \in A \] (True) ### Conclusion Both statements "3 in A" and "9 in A" are true. ### Final Answer - The statement "3, 9 in A" is **True**.
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