Question

2.5 solve linear inequalities homework
score: 11/25 answered: 11/25
question 12
graph the solution to $8x - 1 \leq -9$.
number line from -10 to 10
clear all draw: arrow, dot, open circle
question help: video written example
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Explanation:

Step1: Solve the inequality for x

Start with the inequality \(8x - 1 \leq -9\). Add 1 to both sides:
\(8x - 1 + 1 \leq -9 + 1\)
Simplify: \(8x \leq -8\).

Step2: Divide by 8

Divide both sides by 8:
\(\frac{8x}{8} \leq \frac{-8}{8}\)
Simplify: \(x \leq -1\).

To graph this:

• Plot a closed dot (since the inequality is \(\leq\), including -1) at \(x = -1\).
• Draw an arrow to the left (toward negative infinity) to show all values less than or equal to -1.

Answer:

The solution is \(x \leq -1\). On the number line, place a closed dot at \(-1\) and draw an arrow to the left.