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:

Explanation:

Step1: Add 3 to all parts

$$33 + 3\geq4x-3 + 3\geq9 + 3$$
$$36\geq4x\geq12$$

Step2: Divide all parts by 4

$$\frac{36}{4}\geq\frac{4x}{4}\geq\frac{12}{4}$$
$$9\geq x\geq3$$

Answer:

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

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