Question

Which compound inequality is represented by the graph?
(A.) -2 (B.) -2_ (C.) x<-2 or x_>4
(D.) x_<-2 or x>4

Answer 1

Answer: Choice C

$x < -2 \ \text{ or } \ x \ge 4$

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Explanation:

The blue portion on the left is represented by $x < -2$ as it describes values smaller than -2. Notice the open hole at -2 which indicates we do not include this value. So that's why we go with $x < -2$ instead of $x \le -2$

The blue portion on the right is represented as $x \ge 4$ describing values that are equal to 4, or larger than 4.

So overall, the entire graph visually represents x values such that $x < -2 \ \text{ or } \ x \ge 4$

Side note: the "or" means we pick one region or the other, but not both regions at the same time.