Question

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

6x - 6 < -30

answer attempt 1 out of 5

inequality notation:

number line:

submit answer

Explanation:

Step1: Add 6 to both sides

$$6x-6 + 6< - 30+6$$
$$6x<-24$$

Step2: Divide both sides by 6

$$\frac{6x}{6}<\frac{-24}{6}$$
$$x < - 4$$

Answer:

Inequality Notation: \(x < - 4\)
For the number line: Place an open circle at \(-4\) (because the inequality is strict, i.e., \(x\) is not equal to \(-4\)) and shade the line to the left of \(-4\) (since \(x\) is less than \(-4\)).