Question

question
solve the inequality and graph the solution on the line provided.
$5x - 11 \geq -1$

answer attempt 1 out of 2
$\lt$ $\gt$ $\leq$ $\geq$ or
inequality notation:

number line:
number line from -12 to 12 with labels -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12; instruction: click and drag to plot line

Explanation:

Step1: Add 11 to both sides

To isolate the term with \( x \), we add 11 to both sides of the inequality \( 5x - 11 \geq -1 \). This gives us \( 5x - 11 + 11 \geq -1 + 11 \), which simplifies to \( 5x \geq 10 \).

Step2: Divide both sides by 5

To solve for \( x \), we divide both sides of the inequality \( 5x \geq 10 \) by 5. This gives us \( \frac{5x}{5} \geq \frac{10}{5} \), which simplifies to \( x \geq 2 \).

Answer:

Inequality Notation: \( x \geq 2 \)

For the number line: Place a closed circle at 2 (since the inequality is "greater than or equal to") and draw a line to the right from 2 to represent all numbers greater than or equal to 2.