To determine which expression is equal to the value of [tex]\( 9 - (-5) \)[/tex], let's break it down step by step:
1. Evaluate [tex]\( 9 - (-5) \)[/tex].
When you subtract a negative number, it is equivalent to adding the absolute value of that number:
[tex]\[
9 - (-5) = 9 + 5 = 14
\][/tex]
So, the expression [tex]\( 9 - (-5) \)[/tex] evaluates to 14.
2. Now we compare each of the given choices to see which one equals 14:
- [tex]\( -9 + 5 \)[/tex]:
[tex]\[
-9 + 5 = -4
\][/tex]
This is not equal to 14.
- [tex]\( -9 - 5 \)[/tex]:
[tex]\[
-9 - 5 = -14
\][/tex]
This is not equal to 14.
- [tex]\( 9 - 5 \)[/tex]:
[tex]\[
9 - 5 = 4
\][/tex]
This is not equal to 14.
- [tex]\( 9 + 5 \)[/tex]:
[tex]\[
9 + 5 = 14
\][/tex]
This is equal to 14.
Therefore, the expression that equates to [tex]\( 9 - (-5) \)[/tex] is [tex]\( 9 + 5 \)[/tex].
