solve the inequality and graph the solution on the line provided.\n-5 - 8x ≥ 43\nanswer attempt 1 out of…

solve the inequality and graph the solution on the line provided.\n-5 - 8x ≥ 43\nanswer attempt 1 out of 2\n< > ≤ ≥ or\ninequality notation:\nnumber line:

solve the inequality and graph the solution on the line provided.\n-5 - 8x ≥ 43\nanswer attempt 1 out of 2\n< > ≤ ≥ or\ninequality notation:\nnumber line:

Answer

Explanation:

Step1: Isolate the term with (x)

Add (5) to both sides of the inequality (-5 - 8x\geq43). Using the addition property of inequalities: (-5+5 - 8x\geq43 + 5), which simplifies to (-8x\geq48).

Step2: Solve for (x)

Divide both sides of the inequality (-8x\geq48) by (-8). Remember that when dividing an inequality by a negative number, the direction of the inequality sign changes. So, (\frac{-8x}{-8}\leq\frac{48}{-8}), which gives (x\leq - 6).

Answer:

Inequality Notation: (x\leq - 6)

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