The statement ''If `x^(2)` is not even, then x is not even'' is coverse of the statement

Options

A. If `x^(2)` is odd,then x is even
B. If x is not even, then `x^(2)` is not even
C. If x is even , then `x^(2)` is even
D. If x is odd, then `x^(2)` is even

Explanation

To find the converse of the statement "If \( x^2 \) is not even, then \( x \) is not even," we will follow these steps:

### Step 1: Identify the parts of the statement
The given statement can be broken down into two parts:
- Part 1: \( x^2 \) is not even (this is the hypothesis)
- Part 2: \( x \) is not even (this is the conclusion)

### Step 2: Formulate the converse
The converse of a statement is formed by swapping the hypothesis and the conclusion. Therefore, we will switch the two parts:
- New hypothesis: \( x \) is not even
- New conclusion: \( x^2 \) is not even

### Step 3: Write the converse statement
Now, we can write the converse of the original statement:
"If \( x \) is not even, then \( x^2 \) is not even."

### Final Answer
The converse of the statement "If \( x^2 \) is not even, then \( x \) is not even" is:
"If \( x \) is not even, then \( x^2 \) is not even."

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