Decide, among the following sets, which sets are subsets of one and another:`A = { x : x in R and x^2- 8x + 12 = 0 }`, `B = { 2, 4, 6 }, C = { 2, 4, 6. 8 ......}

Explanation

To determine which sets are subsets of one another among the given sets \( A \), \( B \), and \( C \), we will follow these steps:

### Step 1: Identify the elements of set \( A \)
Set \( A \) is defined as:
\[ A = \{ x : x \in \mathbb{R} \text{ and } x^2 - 8x + 12 = 0 \} \]
To find the elements of \( A \), we need to solve the quadratic equation \( x^2 - 8x + 12 = 0 \).

### Step 2: Solve the quadratic equation
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