Question

solve for x and graph the solution on the number line below.
-4 ≥ -2x
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, the inequality sign flips. So, \(\frac{-4}{-2}\leq\frac{-2x}{-2}\)

Step2: Simplify

Simplify the left - hand side \(\frac{-4}{-2}=2\) and the right - hand side \(\frac{-2x}{-2}=x\). So, \(2\leq x\) which can be rewritten as \(x\geq2\)

Answer:

Inequality Notation: \(x\geq2\)
For the number line: Place a closed circle at \(x = 2\) (because the inequality is \(\geq\)) and draw a line to the right of \(2\) towards positive infinity.