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


Which Compound Inequality Is Represented By The Graph A 2 B 2 C Xlt2 Or Xgt4 D Xlt2 Or Xgt4 class=

Answer :

Answer: Choice C

[tex]x < -2 \ \text{ or } \ x \ge 4[/tex]

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Explanation:

The blue portion on the left is represented by [tex]x < -2[/tex] 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 [tex]x < -2[/tex] instead of [tex]x \le -2[/tex]

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

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

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

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