Write the negation of each of the disjunction:
Ram is in class X or Rina is in Class IX.

Answer

To find the negation of the disjunction "Ram is in class X or Rina is in class IX", we can follow these steps:

### Step 1: Identify the Statements
Let:
- \( p \): "Ram is in class X"
- \( q \): "Rina is in class IX"

The original statement can be expressed as:
\[ p \lor q \]
This means "Ram is in class X or Rina is in class IX".

### Step 2: Write the Negation of the Disjunction
The negation of a disjunction \( p \lor q \) is given by De Morgan's Laws, which states:
\[ \neg(p \lor q) \equiv \neg p \land \neg q \]
This means that the negation of "p or q" is equivalent to "not p and not q".

### Step 3: Negate Each Statement
Now we need to negate each statement:
- The negation of \( p \) ("Ram is in class X") is:
\[ \neg p: \text{"Ram is not in class X"} \]
- The negation of \( q \) ("Rina is in class IX") is:
\[ \neg q: \text{"Rina is not in class IX"} \]

### Step 4: Combine the Negated Statements
According to De Morgan's Law, we combine the negated statements with "and":
\[ \neg(p \lor q) \equiv \neg p \land \neg q \]
This translates to:
"Ram is not in class X and Rina is not in class IX".

### Final Answer
Thus, the negation of the statement "Ram is in class X or Rina is in class IX" is:
**"Ram is not in class X and Rina is not in class IX."**

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