Question

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

6x + 6 < -30

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

click and drag to plot line.

submit answer

Explanation:

Step1: Subtract 6 from both sides

$$6x+6 - 6<-30 - 6$$
$$6x<-36$$

Step2: Divide both sides by 6

$$\frac{6x}{6}<\frac{-36}{6}$$
$$x < - 6$$

Answer:

Inequality Notation: \(x < - 6\)

For the number line: Plot an open circle at \(-6\) (because the inequality is strict, i.e., \(x
eq - 6\)) and draw an arrow to the left (since \(x\) is less than \(-6\)).