Question

solve the inequality 3.75k + 24.5 < 9.5. complete the sentence to describe how to graph the solution on a number line.

the solution can be graphed by plotting choose... at the number choose... and shading the number line to the choose... of the circle.

Explanation:

Step1: Solve the inequality

Subtract \(24.5\) from both sides:
\(3.75k+24.5 - 24.5<9.5 - 24.5\)
\(3.75k<-15\)
Divide both sides by \(3.75\):
\(k <\frac{-15}{3.75}\)
\(k<-4\)

Step2: Graph the solution

When \(k < - 4\), we use an open circle (because the inequality is strict, \(k
eq - 4\)) at the number \(-4\). Since \(k\) is less than \(-4\), we shade the number line to the left of the circle.

Answer:

The solution can be graphed by plotting an open circle at the number \(-4\) and shading the number line to the left of the circle.