Let's solve the given expression step-by-step.
We need to evaluate the expression: [tex]\(-9 + (-6)\)[/tex].
1. Understand the operation:
We are adding two negative numbers here: [tex]\(-9\)[/tex] and [tex]\(-6\)[/tex].
2. Rule for adding negative numbers:
When adding two negative numbers, you add their absolute values (ignore the negative signs) and then put the negative sign in front of the result.
- The absolute value of [tex]\(-9\)[/tex] is [tex]\(9\)[/tex].
- The absolute value of [tex]\(-6\)[/tex] is [tex]\(6\)[/tex].
3. Add the absolute values:
[tex]\(9 + 6 = 15\)[/tex].
4. Apply the negative sign:
Since we are adding two negative numbers, the result will also be negative. So, [tex]\(-9 + (-6)\)[/tex] becomes [tex]\(-15\)[/tex].
Thus, [tex]\(-9 + (-6) = -15\)[/tex].
Therefore, the correct answer is [tex]\(-15\)[/tex]. The expression [tex]\(-9 + (-6)\)[/tex] equals [tex]\(-15\)[/tex], not [tex]\(3\)[/tex].
