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Question
question
solve the inequality and graph the solution on the line provided.
-6 + 8x ≤ 34
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
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Step1: Add 6 to both sides
$$\begin{align*}
-6 + 8x+6&\leq34 + 6\\
8x&\leq40
\end{align*}$$
Step2: Divide both sides by 8
$$\begin{align*}
\frac{8x}{8}&\leq\frac{40}{8}\\
x&\leq5
\end{align*}$$
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Inequality Notation: \(x\leq5\)
For the number - line: Plot a closed circle at \(x = 5\) (because the inequality is \(\leq\)) and draw a line to the left of \(5\) towards the negative infinity.