Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto Hence \ the\ correct \ option \ is \ B \ \bigg\{ x | x \in R , x \leq 7\dfrac{5}{6}\bigg\} }}}[/tex]
Step-by-step explanation:
A inequality is given to us and we need to find the solution set . The inequality given to us is :-
[tex]\bf \implies x - 6\dfrac{1}{3} \leq 1\dfrac{1}{2} \\\\\bf\implies x \leq 6\dfrac{1}{3} + 1\dfrac{1}{2} \\\\\bf\implies x \leq \dfrac{19}{3} + \dfrac{3}{2}\\\\\bf\implies x \leq \dfrac{38+9}{6} \\\\\bf\implies x \leq \dfrac{47}{6} \\\\\bf\implies\boxed{\red{\bf x \leq 7\dfrac{5}{6}}} [/tex]
This means that x belongs to Real Numbers. Hence final answer would be :-
[tex]\boxed{\red{\bf \bigg\{ x | x \in R , x \leq 7\dfrac{5}{6}\bigg\}}}[/tex]
Hence option C is correct.
