Question

solve the inequality and graph the solution on the line provided.

-5 - 8x ≥ 43

answer attempt 1 out of 5

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Isolate the term with \(x\)

Add \(5\) to both sides of the inequality \(-5 - 8x\geq43\).
\(-5+5 - 8x\geq43 + 5\)
\(-8x\geq48\)

Step2: Solve for \(x\)

Divide both sides by \(-8\). Remember that when dividing by a negative number, the inequality sign flips.
\(x\leq\frac{48}{-8}\)
\(x\leq - 6\)

Answer:

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

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