Question

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

-8 + 4x < -4

answer attempt 2 out of 2

< > ≤ ≥ or

inequality notation: x < 1

number line:

submit answer

Explanation:

Step1: Add 8 to both sides

$$-8 + 4x+8 < -4 + 8$$
$$4x<4$$

Step2: Divide both sides by 4

$$\frac{4x}{4}<\frac{4}{4}$$
$$x < 1$$

For the number line: Since the inequality is \(x < 1\), we use an open - circle at \(x = 1\) (because \(1\) is not included in the solution set) and draw an arrow to the left (towards the smaller numbers).

Answer:

Inequality Notation: \(x<1\)

For the number line: Place an open - circle at \(1\) and draw an arrow to the left.