Question

solve the inequality and graph the solution on the line provided.
6x - 6 < -30
answer
inequality notation:
number line:

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: \(x < - 4\)

To graph on the number line: Place an open circle at \(-4\) (because the inequality is strict, \(x
eq - 4\)) and draw an arrow to the left (since \(x\) is less than \(-4\)).