Question

Given: x - 6 1/3≤ 1 1/2 Choose the solution set. a. x ∈ R, x ≤ 7 5/6 b. x c. x

Answer 1

`x-6\frac{1}3\leq1\frac{1}2`

Add 6 1/3 to each side.


`x\leq1\frac{1}2+6\frac{1}3`

To add together the 1/2 and the 1/3, change them to a common denominator.


`x\leq1\frac{3}6+6\frac{2}6`


`x\leq7\frac{5}6`


`\boxed{\{\ x\ |\ x\in\mathbb{R},\ x\leq7\frac{5}6\}}`