Question

solve the inequality and graph the solution on the line provided.
-20 + 2x > -32
answer attempt 2 out of 2
< > ≤ ≥ or
inequality notation: x > -6
number line:
click line to delete. click closed circle to change to open circle.

Explanation:

Step1: Add 20 to both sides

$$-20 + 2x+20>-32 + 20$$
$$2x>-12$$

Step2: Divide both sides by 2

$$\frac{2x}{2}>\frac{-12}{2}$$
$$x > - 6$$

For the number - line: Since the inequality is \(x>-6\), we use an open circle at \(-6\) (because \(-6\) is not included in the solution set) and draw an arrow to the right (towards larger numbers).

Answer:

Inequality Notation: \(x > - 6\)

Number Line: Open circle at \(-6\) with an arrow to the right.