Question

solve for x and graph the solution on the number line below.
33 ≥ 4x - 3 ≥ 9
answer attempt 1 out of 3
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Add 3 to all parts

$$\begin{align*} 33+3&\geq4x - 3+3\geq9+3\\ 36&\geq4x\geq12 \end{align*}$$

Step2: Divide all parts by 4

$$\begin{align*} \frac{36}{4}&\geq\frac{4x}{4}\geq\frac{12}{4}\\ 9&\geq x\geq3 \end{align*}$$

Answer:

Inequality Notation: \(3\leq x\leq9\)

To graph on the number - line: Place a closed circle at \(x = 3\) (because \(x\) can be equal to 3) and at \(x = 9\) (because \(x\) can be equal to 9), and then draw a line segment connecting these two closed circles.