If A={3,5,7,9,11}, then write which of the following statements are true. If a statement is not true, mention why.
`8cancel(in)A`

Answer

To determine whether the statement "8 ∉ A" is true or false, we will follow these steps:

### Step 1: Identify the set A
The set A is given as:
\[ A = \{3, 5, 7, 9, 11\} \]

### Step 2: Check if 8 is an element of set A
We need to see if the number 8 is included in the set A. The elements of set A are:
- 3
- 5
- 7
- 9
- 11

### Step 3: Compare the number 8 with the elements of set A
Now, we will check each element of set A to see if 8 is present:
- 3 is not equal to 8
- 5 is not equal to 8
- 7 is not equal to 8
- 9 is not equal to 8
- 11 is not equal to 8

Since 8 is not equal to any of the elements in set A, we conclude that 8 is not an element of set A.

### Step 4: Write the conclusion
Since 8 is not in the set A, we can say that the statement "8 ∉ A" is true.

### Final Answer
The statement "8 ∉ A" is true because 8 is not an element of the set A.

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