Question

Graph the solution on the number line and write the solution in interval notation. Negative two times x is no more than 6.

Answer 1

`\begin{gathered} \text{Translate} \\ \text{Negative two times }x\rightarrow-2x \\ \text{no more than 6}\rightarrow\le6 \\ \text{Combine and we have} \\ -2x\le6 \\ \text{Solve for }x \\ -2x\le6 \\ \frac{\cancel{-2}x}{\cancel{-2}}\geq(6)/(-2),\text{ dividing by a negative number flips the inequality} \\ x\geq-3\Rightarrow\lbrack-3,\infty) \end{gathered}`

Drawing the graph of the inequality and we get