Question

solve for x and graph the solution on the number line below.
8x < 0
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Divide both sides by 8

To solve the inequality \(8x < 0\), we divide both sides by 8 (since 8 is positive, the inequality sign remains the same). So we have \(\frac{8x}{8} < \frac{0}{8}\).

Step2: Simplify the expression

Simplifying both sides, we get \(x < 0\).

Answer:

Inequality Notation: \(x < 0\)

For the number line: We would draw an open circle at 0 (since \(x\) is not equal to 0) and shade the region to the left of 0 to represent all values of \(x\) less than 0.