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To solve this problem, let's use **De Morgan's Laws**. The original statement given is:

**It is not the case that my grade is an A or a B.**

### Step 1: Understanding the structure
The statement involves a negation of a disjunction (an "or" statement). Using De Morgan's laws, we know that:

\[
\neg (A \vee B) \equiv (\neg A \land \neg B)
\]

This law tells us that negating an "or" statement results in the negation of both terms with an "and" between them.

### Step 2: Applying De Morgan's Law
- Let \( A \) represent "My grade is an A."
- Let \( B \) represent "My grade is a B."

The given statement is:

\[
\neg (A \vee B)
\]

Applying De Morgan's Law, this becomes:

\[
\neg A \land \neg B
\]

Which translates to: **My grade is not an A and it is not a B.**

### Step 3: Selecting the correct answer
From the options provided, the correct equivalent statement is:

- **My grade is not an A and it is not a B.**

This matches the last option in the provided list.

### Answer: The correct option is the last one:  
**My grade is not an A and it is not a B.**

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Would you like a more detailed explanation or have any other questions? Here are some additional questions to explore related topics:

1. How do De Morgan’s Laws apply to more complex logical statements?
2. Can you explain why the other options provided in the question are incorrect?
3. What are some real-life examples where De Morgan’s Laws are useful in decision-making?
4. How would De Morgan's Law apply if the statement used "and" instead of "or"?
5. Can De Morgan's Laws be extended to more than two logical terms (e.g., A, B, and C)?

**Tip:** Whenever you negate a compound statement, remember that De Morgan’s Laws switch "and" to "or" and vice versa!

Use De Morgan's laws to write an equivalent statement. It is not the case that my grade is an A or a B. Choose the correct equivalent statement for the given statement.

Understand how to apply De Morgan's Laws to rewrite the logical statement 'It is not the case that my grade is an A or a B.' Step-by-step solution and explanation using logical equivalence and negation. Suitable for high school students (Grades 9-12).

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