Question

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

8x + 5 ≥ 21

answer attempt 1 out of 10

inequality notation:

number line:

Explanation:

Step1: Subtract 5 from both sides

$$\begin{align*} 8x+5 - 5&\geq21 - 5\\ 8x&\geq16 \end{align*}$$

Step2: Divide both sides by 8

$$\begin{align*} \frac{8x}{8}&\geq\frac{16}{8}\\ x&\geq2 \end{align*}$$

Answer:

Inequality Notation: \(x\geq2\)

To graph on the number - line: Place a closed circle at \(x = 2\) (because the inequality is \(\geq\), so 2 is included in the solution set) and draw an arrow to the right (since \(x\) is greater than or equal to 2).