Question

solve the inequality for x.
-2 + 2x ≥ 4
simplify your answer as much a

Explanation:

Step1: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the inequality \(-2 + 2x \geq 4\). This gives us \(-2 + 2 + 2x \geq 4 + 2\), which simplifies to \(2x \geq 6\).

Step2: Divide both sides by 2

Next, we divide both sides of the inequality \(2x \geq 6\) by 2 to solve for \( x \). So, \(\frac{2x}{2} \geq \frac{6}{2}\), which simplifies to \(x \geq 3\).

Answer:

\(x \geq 3\)