Question

solve for x and graph the solution on the number line below.
64 > -8x
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Divide both sides by -8

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{64}{-8}<\frac{-8x}{-8}$$

Step2: Simplify

Simplify the left - hand side $\frac{64}{-8}=-8$ and the right - hand side $\frac{-8x}{-8}=x$.
So, $-8 < x$ or $x>-8$.

Answer:

Inequality Notation: $x > - 8$

For the number line: Draw an open circle at $-8$ (because the inequality is strict, i.e., $x
eq - 8$) and shade to the right of $-8$.