Question

1. directions

select up to 1 number line button(s) below. click to activate and drag the circles on the number line to graph the answer.
create a number line that represents the solution to the inequality $\frac{x - 2}{3} > -2$.
plot the solution on the given number line.

Explanation:

Step1: Eliminate denominator

Multiply both sides by 3:
$$3 \times \frac{x-2}{3} > 3 \times (-2)$$
Simplify to get: $x - 2 > -6$

Step2: Isolate x variable

Add 2 to both sides:
$$x - 2 + 2 > -6 + 2$$
Simplify to get: $x > -4$

Step3: Graph the inequality

Use an open circle at $x=-4$ (since the inequality is strict, no equality) and shade all values to the right of -4.

Answer:

The solution is $x > -4$, represented on the number line with an open circle at $-4$ and an arrow pointing to the right (matching the selected $\boldsymbol{\circ
ightarrow}$ button placed at $-4$ on the number line).