Write the negation of each of the following statements.
My grade is an A or a B.

Answer

To find the negation of the statement "My grade is an A or a B," we will follow these steps:

### Step 1: Understand the Original Statement
The original statement is "My grade is an A or a B." This is a compound statement that uses the logical operator "or."

### Step 2: Identify the Components
The components of the statement are:
- "My grade is an A"
- "My grade is a B"

### Step 3: Determine the Negation
The negation of a statement that uses "or" (disjunction) can be expressed using De Morgan's Laws. According to De Morgan's Laws, the negation of "P or Q" is "not P and not Q."

### Step 4: Apply De Morgan's Laws
Applying this to our statement:
- The negation of "My grade is an A" is "My grade is not an A."
- The negation of "My grade is a B" is "My grade is not a B."

Thus, the negation of the entire statement "My grade is an A or a B" becomes:
"My grade is not an A and my grade is not a B."

### Final Answer
The negation of the statement "My grade is an A or a B" is:
"My grade is not an A and my grade is not a B."

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