Which of the following is true of the commutative property under subtraction? a) (A - B ≠ B - A) b) (A - B = B - A)
We will use the concept of the commutative property of subtraction to find out which is true.
Answer : (A - B ≠ B - A) is true and (A - B = B - A) is false
Let's see how we will use the concept of the commutative property of subtraction to find out which is true.
Given to us is two expressions
1) A - B ≠ B - A
2) A - B = B - A
The commutative property says that if (A operator B ) gives us some result then ( B operator A ) should also give us the same result.
But for the above two expressions, we know by the knowledge of subtraction that A - B can never be equal to B - A unless both A and B are equal to 0.
We can observe this by taking a simple example, where A = 4 and B = 6
Therefore A - B = 4 - 6 = -2
and B - A = 6 - 4 = 2
Hence, we clearly observe that A - B ≠ B - A.
So expression 1 is true i.e. A - B ≠ B - A.