To determine which of the provided choices can be used to verify the equation [tex]\( 205 - 110 = 95 \)[/tex], let's analyze each of the choices step-by-step.
1. Choice: [tex]\( 110 + 95 = 205 \)[/tex]
- Adding the numbers on the right side of the initial equation, [tex]\( 110 + 95 = 205 \)[/tex], matches the original number 205.
- This equation checks out, as it balances 205 from the given [tex]\( 205 - 110 \)[/tex].
- Therefore, this choice is valid for checking the equation.
2. Choice: [tex]\( 205 + 110 + 95 = 410 \)[/tex]
- Adding all the numbers in the equation: [tex]\( 205 + 110 + 95 \)[/tex] gives us 410.
- This does not directly validate the equation [tex]\( 205 - 110 = 95 \)[/tex].
- Thus, this choice is not useful for checking the equation.
3. Choice: [tex]\( 205 + 110 = 315 \)[/tex]
- Adding 205 and 110 gives us 315.
- This sum does not help in verifying the equation [tex]\( 205 - 110 = 95 \)[/tex] since subtraction cannot be validated by this sum.
- Hence, this choice is not useful for checking the equation.
4. Choice: [tex]\( 205 + 95 = 300 \)[/tex]
- Adding 205 and 95 results in 300.
- Similar to the previous sums, this does not verify [tex]\( 205 - 110 = 95 \)[/tex], it only yields another unrelated sum.
- Therefore, this choice is not useful for checking the equation.
Among the given choices, only the first choice, [tex]\( 110 + 95 = 205 \)[/tex], correctly checks the equation [tex]\( 205 - 110 = 95 \)[/tex]. This is because it reaffirms that the difference between 205 and 110 is indeed 95 by using the inverse operation, addition.
