Question

solve for $x$ and graph the solution on the number line below.
$36 > - 9x$
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12

Explanation:

Step1: Divide both sides by -9

When dividing an inequality by a negative number, the inequality sign flips. So $\frac{36}{-9}<\frac{-9x}{-9}$.
$$ - 4

Step2: Rewrite the inequality

We can rewrite $-4 < x$ as $x>-4$.

Answer:

Inequality Notation: $x > - 4$
Number Line: Plot an open - circle at $-4$ and draw an arrow to the right.