To check the answer to the sum [tex]\( 14 + 17 = 31 \)[/tex], we need to select the proper inverse operation. Addition has an inverse operation called subtraction. The equation we're given is:
[tex]\[ 14 + 17 = 31 \][/tex]
To check if this equation is correct, we can use subtraction. Specifically, if we subtract 17 from 31, we should get 14:
[tex]\[ 31 - 17 = 14 \][/tex]
Let's evaluate the other options to ensure that they're not appropriate for checking this sum:
- Option B: [tex]\( 31 \times 14 = 17 \)[/tex]
This option involves multiplication, which is not the proper inverse operation for addition and does not help in checking the sum.
- Option C: [tex]\( 14 - 17 = 31 \)[/tex]
This option involves subtraction but in the wrong direction and does not help in verifying the sum.
- Option D: [tex]\( 31 \div 17 = 14 \)[/tex]
This option involves division, which is not the proper inverse operation for addition and does not help in checking the sum.
Therefore, the correct inverse operation to check the answer to [tex]\( 14 + 17 = 31 \)[/tex] is:
A. [tex]\( 31 - 17 = 14 \)[/tex]
