Question

solve for x and graph the solution on the number line below. -6x > -12 answer attempt 1 out of 2 < > ≤ ≥ or 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 -6

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-6x}{-6}<\frac{-12}{-6}$.

Step2: Simplify the expressions

We get $x < 2$.

Answer:

Inequality Notation: $x < 2$
Number Line: On the number - line, we place an open circle at 2 (since $x$ is less than 2, not less than or equal to 2) and draw an arrow to the left of 2.