Question

solve the inequality and graph the solution on the line provided.
3x - 8 < -20
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Add 8 to both sides

To isolate the term with \( x \), we add 8 to both sides of the inequality \( 3x - 8 < -20 \). This gives us \( 3x - 8 + 8 < -20 + 8 \), which simplifies to \( 3x < -12 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3x < -12 \) by 3 to solve for \( x \). So, \( \frac{3x}{3} < \frac{-12}{3} \), which simplifies to \( x < -4 \).

Answer:

Inequality Notation: \( x < -4 \)
For the number line: We would draw an open circle at -4 (since the inequality is strict, \( < \), not \( \leq \)) and shade the line to the left of -4 to represent all values of \( x \) less than -4.