Question

solve the inequality and graph the solution on the line provided.
$-18 + 3x > 6$
answer attempt 1 out of 3
inequality notation:
number line:

Explanation:

Step1: Add 18 to both sides

To isolate the term with \( x \), we add 18 to both sides of the inequality \( -18 + 3x > 6 \). This gives us \( -18 + 18 + 3x > 6 + 18 \), which simplifies to \( 3x > 24 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3x > 24 \) by 3 to solve for \( x \). So, \( \frac{3x}{3} > \frac{24}{3} \), which simplifies to \( x > 8 \).

Answer:

Inequality Notation: \( x > 8 \)

For the number line: Place an open circle at 8 (since the inequality is \( > \), not \( \geq \)) and draw an arrow to the right to represent all numbers greater than 8.