Question

Please help and if you want to, explain your answer. Thanks so much! :)

Answer 1

`\boxed{\boxed{\pink{\bf \leadsto Hence \ the\ correct \ option \ is \ B \ \bigg\ x \in R , x \leq 7(5)/(6)\bigg\ }}}`

Explanation:

A inequality is given to us and we need to find the solution set . The inequality given to us is :-

`\bf \implies x - 6(1)/(3) \leq 1(1)/(2) \\\\\bf\implies x \leq 6(1)/(3) + 1(1)/(2) \\\\\bf\implies x \leq (19)/(3) + (3)/(2)\\\\\bf\implies x \leq (38+9)/(6) \\\\\bf\implies x \leq (47)/(6) \\\\\bf\implies\boxed{\red{\bf x \leq 7(5)/(6)}}`

This means that x belongs to Real Numbers. Hence final answer would be :-

`\boxed{\red{\bf \bigg\ x \in R , x \leq 7(5)/(6)\bigg\}}`

Hence option C is correct.