Question

Solve the compound inequality.-3w≤-18 or 2w+42-2Write the solution in interval notation.If there is no solution, enter Ø.

Answer 1

Given:

`\begin{gathered} -3w\leq-18 \\ 2w+4\ge-2 \end{gathered}`

Required:

To solve the given inequality.

Step-by-step explanation:

Consider

`\begin{gathered} -3w\leq-18 \\ \\ (-3w)/(-3)\ge(-18)/(-3) \\ \\ w\ge6 \end{gathered}`

Now

`\begin{gathered} 2w+4\ge-2 \\ \\ 2w\ge-2-4 \\ \\ 2w\ge-6 \\ \\ (2w)/(2)\ge-(6)/(2) \\ \\ w\ge-3 \end{gathered}`

Now the solution is

`[-3,\infty)`

Final Answer:

The solution of the given compound inequality is

`[-3,\infty)`