Question

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:
click and drag to plot line.
submit answer

Explanation:

Step1: Add 5 to both sides

$$-5 - 8x+5\geq43 + 5$$
$$-8x\geq48$$

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

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-8x}{-8}\leq\frac{48}{-8}$$
$$x\leq - 6$$

Answer:

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

For the number - line: Place a closed circle at \(x = - 6\) (because the inequality is \(\leq\)) and shade to the left of \(x=-6\) (since \(x\) is less than or equal to - 6).