Question

solve for x and graph the solution on the number line below. -4x ≤ -8 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.

Explanation:

Step1: Divide both sides by -4

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-4x}{-4}\geq\frac{-8}{-4}$.

Step2: Simplify the expressions

We get $x\geq2$.

Answer:

Inequality Notation: $x\geq2$
Number Line: Plot a closed - circle at 2 (because the inequality includes equality, i.e., $\geq$) and draw a line to the right of 2 to represent all the values of $x$ that satisfy the inequality.