Question

solve the inequality and graph the solution on the line provided.
3x - 9 < -18
answer attempt 1 out of 2
inequality notation:
number line:
number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12; text: click and drag to plot line
submit answer

Explanation:

Step1: Add 9 to both sides

To isolate the term with \( x \), we add 9 to both sides of the inequality \( 3x - 9 < -18 \). This gives us \( 3x - 9 + 9 < -18 + 9 \), which simplifies to \( 3x < -9 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3x < -9 \) by 3 to solve for \( x \). So, \( \frac{3x}{3} < \frac{-9}{3} \), which simplifies to \( x < -3 \).

Answer:

Inequality Notation: \( x < -3 \)

For the number line: We would draw an open circle at -3 (since the inequality is strict, \( < \), not \( \leq \)) and shade the line to the left of -3 to represent all values of \( x \) that are less than -3.