Question

conclusion: $ab - 2 = 15$
which of the following properties does this illustrate?
a. the multiplication property of equality.
b. the subtraction property of equality.
c. the transitive property of equality.
d. the symmetric property of equality.
e. the reflexive property of equality.

Explanation:

First, clarify each property:

1. Multiplication property: If $a=b$, then $ac=bc$ (multiply both sides by same value).
2. Subtraction property: If $a=b$, then $a-c=b-c$ (subtract same value from both sides).
3. Transitive property: If $a=b$ and $b=c$, then $a=c$.
4. Symmetric property: If $a=b$, then $b=a$.
5. Reflexive property: $a=a$.

The conclusion $AB - 2 = 15$ implies starting from an equality like $AB = 17$, then subtracting 2 from both sides, which matches the subtraction property of equality.

Answer:

B. The subtraction property of equality.