Question

solve for x and graph the solution on the number line below. -12 < 6x answer attempt 2 out of 3 < > ≤ ≥ or inequality notation: x > -2 number line: click line to delete. click closed circle to change to open circle.

Explanation:

Step1: Divide both sides by 6

$$\frac{-12}{6}<\frac{6x}{6}$$

Step2: Simplify

$$-2 < x$$
which is equivalent to \(x > - 2\)

For graphing on the number line:

• Since the inequality is \(x > - 2\), we use an open circle at \(-2\) (because \(-2\) is not included in the solution set) and draw an arrow to the right (towards positive infinity)

Answer:

Inequality Notation: \(x > - 2\)

Number Line: Use an open circle at \(-2\) and an arrow to the right.