Question

determine which of the following values of x satisfy the inequality below. 2x - 11 ≥ 19

Explanation:

Step1: Add 11 to both sides

To isolate the term with \( x \), we add 11 to both sides of the inequality \( 2x - 11 \geq 19 \). This gives us \( 2x - 11 + 11 \geq 19 + 11 \), which simplifies to \( 2x \geq 30 \).

Step2: Divide both sides by 2

Next, we divide both sides of the inequality \( 2x \geq 30 \) by 2 to solve for \( x \). So, \( \frac{2x}{2} \geq \frac{30}{2} \), which simplifies to \( x \geq 15 \).

Answer:

\( x \geq 15 \)