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QUESTION IMAGE

solve the inequality and graph the solution on the line provided. $3x -…

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:

Explanation:

Step1: Add 8 to both sides

$3x - 8 + 8 < -20 + 8$
$3x < -12$

Step2: Divide by 3 on both sides

$\frac{3x}{3} < \frac{-12}{3}$
$x < -4$

Answer:

Inequality Notation: $x < -4$

For the number line:

  • Place an open circle at $-4$ (since the inequality is strict, not inclusive)
  • Draw an arrow pointing to the left from $-4$ to represent all values less than $-4$