Question 10 ( 5 points) Which of the following shows why the commutative property doesn't work unde subtraction? A) \( 51 \neq 51 \) B) \( 3+2 \neq 2+3 \) C) \( 51 \neq 15 \) D) \( 5+1=71 \)

The correct answer is: C) \( 51 \neq 15 \) The commutative property states that changing the order of the numbers in an addition or multiplication does not change the result. However, this property does not apply to subtraction. In subtraction, changing the order of the numbers does change the result. For example, \( 51 - 15 \) is not equal to \( 15 - 51 \). This is why option C demonstrates why the commutative property doesn't work under subtraction. Here's a brief explanation of why the other options are not correct: A) \( 51 \neq 51 \) is simply a statement that 51 is not equal to 51, which is false, but it doesn't relate to the commutative property or subtraction. B) \( 3+2 \neq 2+3 \) is false because the commutative property of addition does hold true, so \( 3+2 = 2+3 \). D) \( 5+1=71 \) is false and has nothing to do with the commutative property or subtraction. It is simply an incorrect statement.