Question

question
solve for x and graph the solution on the number line below.
-32 < -4x
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Divide both sides by -4

When dividing an inequality by a negative number, the inequality sign flips. So, $\frac{-32}{-4}>\frac{-4x}{-4}$.
$8 > x$

Step2: Rewrite the inequality

We can rewrite $8 > x$ as $x < 8$.

Answer:

Inequality Notation: $x < 8$
(Note: Graphing on the number - line would involve drawing an open circle at 8 and shading the line to the left of 8, but this text - based response only provides the inequality notation as requested in the main part of the answer.)