Question

Solve the compound inequality ( Please answer in format shown in picture in the right hand corner)

Answer 1

We would solve each inequality and combine the solutions. Thus, we have

`\begin{gathered} -\text{ 2w }\ge2 \\ \text{Dividing both sides of the inequality by - 2, the inequality sign would } \\ be\text{ reveresed. Thus, we have} \\ w\text{ }\leq\frac{2}{-\text{ 2}} \\ w\leq-\text{ 1} \\ 4w\text{ - 6 }\ge2 \\ 4w\text{ }\ge2\text{ + 6} \\ 4w\ge8 \\ w\ge(8)/(4) \\ w\ge2 \end{gathered}`

w cannot be less than or equal to - 1 and still be greater than or equal to 2. Thus, the solution is empty

`Solution=\Phi`