Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Is the following equation true or false?

(5 - 4) + 10 = 5 - (4 + 10)

A. True
B. False

Sagot :

GinnyAnswer
To determine if the equation [tex]\((5-4) + 10 = 5 - (4 + 10)\)[/tex] is true or false, we need to evaluate both sides of the equation step-by-step.

### Step-by-Step Solution

1. Evaluate the left side of the equation:
[tex]\[ (5 - 4) + 10 \][/tex]
- First, perform the operation inside the parentheses:
[tex]\[ 5 - 4 = 1 \][/tex]
- Now, add the result to 10:
[tex]\[ 1 + 10 = 11 \][/tex]
So, the left side of the equation simplifies to 11.

2. Evaluate the right side of the equation:
[tex]\[ 5 - (4 + 10) \][/tex]
- First, perform the operation inside the parentheses:
[tex]\[ 4 + 10 = 14 \][/tex]
- Now, subtract this result from 5:
[tex]\[ 5 - 14 = -9 \][/tex]
So, the right side of the equation simplifies to -9.

3. Compare the results:
- The left side is 11.
- The right side is -9.
- Clearly, 11 does not equal -9.

### Conclusion

Since the left side of the equation does not equal the right side, the equation [tex]\((5-4) + 10 = 5 - (4 + 10)\)[/tex] is false.

So, the answer is:
B. False
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.