SOLUTION: .___________ ___> -3 -2 -1 0 1 2 3 4 5 6 7 8 9 aero is pointing from 2 to 9 Which inequality is graphed on the number line? A) x > 2 B) x < 2 C

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Question 586821: ._______________>
-3 -2 -1 0 1 2 3 4 5 6 7 8 9

aero is pointing from 2 to 9
Which inequality is graphed on the number line?

A) x > 2
B) x < 2
C) x < 2
D) x > 2

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


I surmise you meant "arrow" instead of "aero" I'm also guessing that answers A and D are not actually the same nor are B and C.

The arrow actually starts either exactly at 2 (if there is a solid dot on the 2) or at any amount however small larger than 2 (if there is an open circle on the 2). The arrow actually points to meaning that the set of values goes on forever in the positive direction.

If you have a solid dot on the 2, then the relation is inclusive, meaning the number 2 is actually included in the described set of values and the relationship indicator must be inclusive of equals, i.e. either or . Then you have to decide which way the symbol points. The pointy end of the symbol always points to the smaller quantity. Pick a spot on the arrow that is NOT the end point 2. Is the number you picked larger or smaller than 2? Since the spot you picked is a possible value for , if it is larger than 2, the wide end of the symbol goes toward the and the pointy end goes toward the 2. Otherwise it is the other way around.

By the way, the plain text representations of and are <= and >=.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


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