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.

Explanation:

Consider

$\begin{gathered} -3w\leq-18 \\ \\ \frac{-3w}{-3}\ge\frac{-18}{-3} \\ \\ w\ge6 \end{gathered}$

Now

$\begin{gathered} 2w+4\ge-2 \\ \\ 2w\ge-2-4 \\ \\ 2w\ge-6 \\ \\ \frac{2w}{2}\ge-\frac{6}{2} \\ \\ w\ge-3 \end{gathered}$

Now the solution is

$[-3,\infty)$

Final Answer:

The solution of the given compound inequality is

$[-3,\infty)$