A'Mor'Rai B.

asked • 09/12/17

What is the statement x > 0 and x < 6 interval notation?

What is the statement x > 0 and x < 6 interval notation?
 

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Carol H. answered • 09/12/17

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To write the statement x>0 and x<6 in interval notation, write the following:
(0,6)
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Kenneth S.

Correct. This is called an OPEN INTERVAL because the endpoint values are excluded.
If the two inequalities had been of the ≤ & kind, then the closed interval would use brackets: [0,6].
 
Additionally, the compound inequality that was originally stated is called a CONJUNCTION (because of AND) and it represents the intersection of two sets, i.e. all points in common to two sets.  If the word OR had been used in the original compound inequality, that would have been a DISJUNCTION. (Usually a disjunction graphs as two separate rays on a numberline, with or without inclusion of their endpoints.)
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09/12/17

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