Answer:
x < 6
Explanation:
You want the solution to x/-3 > -2.
Inequality
To solve this, you can multiply by -3. Since that multiplier is negative, the inequality symbol must be reversed.
(x/-3)(-3) < (-2)(-3) . . . . show the multiplication
x < 6 . . . . . . . . . . . . simplify
The solution is x < 6.
Graph
The graph has an open circle at x=6, since x=6 is not part of the solution. The line is shaded to the left, where values of x are less than 6.
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Additional comment
For the most part, solving inequalities is similar to solving equations. The thing to keep in mind is that any operation that changes ordering changes the inequality direction. Multiplying or dividing by negative numbers is the operation you see most that does this.
Here is an example:
-2 < -1
2 > 1 . . . . . multiply by -1