se an inequality symbol (<, >, =, ≠) to compare 5 + (−4) _____ 14 + (−13) A. > B. = C. ≠ D.
2 answers:
Answer: The correct option is (C). =.
Step-by-step explanation: We are to choose a symbol from the set of symbols (<, >, =, ≠) to compare the following mathematical statement:
![5+(-4)~~~~~?~~~~~14+(-13).](https://tex.z-dn.net/?f=5%2B%28-4%29~~~~~%3F~~~~~14%2B%28-13%29.)
We have
![5+(-4)=5-4=1,](https://tex.z-dn.net/?f=5%2B%28-4%29%3D5-4%3D1%2C)
and
![14+(-13)=14-13=1.](https://tex.z-dn.net/?f=14%2B%28-13%29%3D14-13%3D1.)
Therefore, we have
![1=1\\\\\Rightarrow 5+(-4)=14+(-13).](https://tex.z-dn.net/?f=1%3D1%5C%5C%5C%5C%5CRightarrow%205%2B%28-4%29%3D14%2B%28-13%29.)
Thus, the complete statement is
![5+(-4)=14+(-13).](https://tex.z-dn.net/?f=5%2B%28-4%29%3D14%2B%28-13%29.)
Option (B) is CORRECT.
5+(-4)= 1
14+(-13)= 1
So the answer is B. =
I hope this helps
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