Write the negation of each of the disjunction:
6 is greater than 4 or 6 is less than 9.

Answer

To find the negation of the disjunction "6 is greater than 4 or 6 is less than 9," we will follow these steps:

### Step 1: Identify the statements
Let:
- Statement \( p \): "6 is greater than 4"
- Statement \( q \): "6 is less than 9"

### Step 2: Write the disjunction
The disjunction of the two statements can be represented as:
\[ p \lor q \]
This reads as "p or q," which translates to "6 is greater than 4 or 6 is less than 9."

### Step 3: Apply the negation rule
The negation of a disjunction \( p \lor q \) is given by De Morgan's laws:
\[ \neg(p \lor q) = \neg p \land \neg q \]
This means that the negation of "p or q" is equivalent to "not p and not q."

### Step 4: Negate each statement
Now we will negate each statement:
- Negation of \( p \) (6 is greater than 4):
\[ \neg p: \text{"6 is not greater than 4"} \]

- Negation of \( q \) (6 is less than 9):
\[ \neg q: \text{"6 is not less than 9"} \]

### Step 5: Combine the negations
Now, we combine the negations using "and":
\[ \neg(p \lor q) = \neg p \land \neg q \]
This translates to:
"6 is not greater than 4 and 6 is not less than 9."

### Final Answer
Thus, the negation of the statement "6 is greater than 4 or 6 is less than 9" is:
**"6 is not greater than 4 and 6 is not less than 9."**

---