.2Write the following statement in mathematical form: 3 less than the quotient of a and b.a) (a-3)/bb) a/(b-3)c) a/b - 3d) none of the above

Break Down the Problem

1. We need to express the statement "3 less than the quotient of $a$ and $b$" in mathematical form.

Relevant Concepts

2. The quotient of $a$ and $b$ is represented as $\frac{a}{b}$. To express "3 less than" this quotient, we would subtract 3 from the quotient.

Analysis and Detail

3. The mathematical expression for "3 less than the quotient of $a$ and $b$" can be written as: $\frac{a}{b} - 3$

Verify and Summarize

4. Comparing our expression $\frac{a}{b} - 3$ with the given options:
   • a) $\frac{a - 3}{b}$ (This represents "the quotient of $a - 3$ and $b$" which is incorrect)
   • b) $\frac{a}{b-3}$ (This represents "the quotient of $a$ and $b-3$" which is incorrect)
   • c) $\frac{a}{b} - 3$ (This matches our expression)
   • d) none of the above (This is incorrect since we have a matching option)

Final Answer

The correct mathematical form is option c: $\frac{a}{b} - 3$