Question

question
solve the inequality and graph the solution on the line provided.
2x - 8 ≥ 0
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
check and drag to plot line.
submit answer

Explanation:

Step1: Isolate the term with \(x\)

Add \(8\) to both sides of the inequality \(2x - 8\geq0\).
\(2x-8 + 8\geq0 + 8\)
\(2x\geq8\)

Step2: Solve for \(x\)

Divide both sides of the inequality \(2x\geq8\) by \(2\).
\(\frac{2x}{2}\geq\frac{8}{2}\)
\(x\geq4\)

Answer:

Inequality Notation: \(x\geq4\)

For the number - line: Place a closed circle at \(x = 4\) (because the inequality is \(\geq\), so \(4\) is included in the solution set) and draw an arrow to the right (since \(x\) is greater than or equal to \(4\)).