Sure, let's solve the given mathematical expression step-by-step.
The expression is:
[tex]\[ (6 + 3) \div (4 - 5) \][/tex]
Here's how you can solve it:
1. Calculate the numerator:
[tex]\[ 6 + 3 = 9 \][/tex]
2. Calculate the denominator:
[tex]\[ 4 - 5 = -1 \][/tex]
3. Perform the division:
[tex]\[ \frac{9}{-1} = -9 \][/tex]
So, the complete solution for the expression [tex]\((6 + 3) \div (4 - 5)\)[/tex] is:
[tex]\[ -9 \][/tex]
Therefore, the answer is:
[tex]\[ \boxed{-9} \][/tex]