Question

solve for x and graph the solution on the number line below.
-8 ≥ -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.
$$\frac{-8}{-8}\leq\frac{-8x}{-8}$$

Step2: Simplify

Simplify the left - hand side $\frac{-8}{-8}=1$ and the right - hand side $\frac{-8x}{-8}=x$.
So, $1\leq x$ or $x\geq1$.

Answer:

Inequality Notation: $x\geq1$

For the number line: Place a closed circle at \(x = 1\) (because the inequality is $\geq$, including the value \(1\)) and draw a line to the right of \(1\) towards positive infinity.