document.write( "Question 1014976: I am working on solving inequalities and then writing them in interval notation. I am fine with solving and writing the inequalities with the word 'and\" in interval notation. I am struggling with writing inequalities with the word \"or\" in interval notation. My question is how come a problem such as X<2/3 or X>-1/2 can be simplified into interval notation as (-infinity, infinity) but X+4<0 or 6x>-12 is written as (-infinity,-4) U (-2,infinity) \n" ); document.write( "

Algebra.Com's Answer #631305 by rothauserc(4718) $\"\"$ $\"About$

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X<2/3 includes -1/2 and x>-1/2 includes 2/3, hence the open interval (-infinity, infinity)
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\n" ); document.write( "x+4<0
\n" ); document.write( "x<-4
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\n" ); document.write( "6x>-12
\n" ); document.write( "x>-2
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\n" ); document.write( "there is no overlap between these two inequalities, x<-4 or x>-2, therefore
\n" ); document.write( "(-infinity,-4) U ((-2,infinity)
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