Question

what is the domain of the relation ${(a,b): ab=12}$?${a: ain r,ain0}$${a: ain r,aleq0}$${a: ain r,a=0}

$${a: ain r,a eq0}$$

{a: ain r,ageq0}$

Explanation:

Step1: Rearrange for $b$

$b = \frac{12}{a}$

Step2: Identify undefined $a$ value

$a$ cannot be 0 (division by 0 is undefined).

Step3: Define valid $a$ values

All real numbers except 0.

Answer:

$\{a: a \in R, a
eq 0\}$