Answer :
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
### 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
