Answer: The correct option is (A) 6.
Step-by-step explanation: We are given to select the value of x for which the following rational expression become undefined :
[tex]E=\dfrac{3x-5}{x-6}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
a rational expression become undefined when the denominator is equal to zero.
Therefore, the rational expression (i) will become undefined when
[tex]x-6=0\\\\\Rightarrow x=6.[/tex]
Thus, the required value of x for which the given rational expression become undefined is 6.
Option (A) is CORRECT.
