QUESTION IMAGE
Question
solve and graph the following inequality: ( 4 > - 2 - 3 x )
Step1: Add 2 to both sides
$$\begin{align*}
4+2&>-2 - 3x+2\\
6&>-3x
\end{align*}$$
Step2: Divide both sides by - 3 (and reverse the inequality sign)
$$\begin{align*}
\frac{6}{-3}&<\frac{-3x}{-3}\\
-2&
which can be written as \(x > - 2\)
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The inequality is \(x > - 2\). To graph it on a number line: draw an open circle at \(-2\) (because \(-2\) is not included in the solution set) and shade to the right of \(-2\) since \(x\) is greater than \(-2\).