Question

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

Explanation:

Step1: Divide both sides by -6

When dividing an inequality by a negative number, the inequality sign flips. So, we divide both sides of \(-6x > -12\) by \(-6\).
\(\frac{-6x}{-6} < \frac{-12}{-6}\)

Step2: Simplify both sides

Simplifying the left side gives \(x\) and the right side gives \(2\). So we have \(x < 2\).

Answer:

Inequality Notation: \(x < 2\)

For the number line: We draw an open circle at \(2\) (since the inequality is strict, \(x\) is not equal to \(2\)) and shade the region to the left of \(2\) to represent all values of \(x\) that are less than \(2\).