Question

solve for x and graph the solution on the number line below. -4 ≥ -2x answer attempt 2 out of 3 < > ≤ ≥ or inequality notation: x ≤ 2 number line:

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, the direction of the inequality sign changes. So, $\frac{-4}{-2}\leq\frac{-2x}{-2}$.

Step2: Simplify the expressions

We get $2\leq x$, which is equivalent to $x\geq 2$.

Answer:

Inequality Notation: $x\geq 2$
Number - Line: Draw a number line. Mark a closed - circle at 2 (because $x$ can equal 2) and shade the line to the right of 2 to represent all values of $x$ that are greater than or equal to 2.