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:

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: \(x\leq - 6\)

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