Question

solve the inequality and graph the solution on the line provided.
-5 - 8x ≥ 43
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Add 5 to both sides

$$\begin{align*} -5 - 8x+5&\geq43 + 5\\ -8x&\geq48 \end{align*}$$

Step2: Divide both sides by -8 and reverse the inequality sign

$$\begin{align*} \frac{-8x}{-8}&\leq\frac{48}{-8}\\ x&\leq - 6 \end{align*}$$

Answer:

Inequality Notation: \(x\leq - 6\)

For the number - line: Place a closed circle at \(-6\) (because the inequality includes equality, i.e., \(x\) can be \(-6\)) and shade to the left (since \(x\) is less than or equal to \(-6\)).