Which compound inequality best represents this graph?

A. x ≤-3 or x ≥ 2
B. x ≤-3 and x ≥ 2
C. -3 ≤ x ≤ 2
D. 2 ≤ x ≤ -3

GRAPH: http://roads.advancedacademics.com/contentserver/content/roadssection/277828/questions/5-hw4/graph_43.gif

Question

Which compound inequality best represents this graph?

	A. x ≤-3 or x ≥ 2
	B. x ≤-3 and x ≥ 2	
	C. -3 ≤ x ≤ 2
	D. 2 ≤ x ≤ -3

GRAPH: http://roads.advancedacademics.com/contentserver/content/roadssection/277828/questions/5-hw4/graph_43.gif

anonymous · Answer

Do you have any clue?

cenaida · Answer

I think its C but im not sure @some_someone

anonymous · Answer

Okaii so: Closed circles are for less than or equal to and greater than or equal to because the point the circle lies on is included.

anonymous · Answer

can you eliminate some choices?

cenaida · Answer

umm D and C ?

anonymous · Answer

Yes.

cenaida · Answer

hmm could it be A ?

anonymous · Answer

Well u see, this is where it gets a little tricky. Since one says OR and the other says AND, but besides these differences they are the same. Right?
A. x ≤-3 OR x ≥ 2 

B. x ≤-3 AND x ≥ 2

cenaida · Answer

oooh then its probably B isnt it?

directrix · Answer

I don't think B is correct because:

B. x ≤-3 and x ≥ 2    --> There is NO number greater than or = to 2 AND at the same time less than or equal to -3.

You want the union or "the or" of these two inequalities. Look again at the options.

@cenaida