document.write( "Question 630456: Okay, so I'm studying: Solving combined inequalities and they gave me these two problems: 2t+7≥13 or 5t-4<6 and 2t+7≥13 and 5t-4<6. I thought it was the same until I saw the answers in the back of my book and I can't understand how to do them or what the difference is I mean I know there an and in one and an or in the other but what does that have to do??. Please help and Thank you!!! \n" ); document.write( "
Algebra.Com's Answer #396921 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You need a few more words of explanation rather
\n" ); document.write( "than just \"and\", \"or\"
\n" ); document.write( "When they say
\n" ); document.write( "(1)
\n" ); document.write( "\"+2t+%2B+7+%3E=+13+\" or \"+5t+-+4+%3C+6+\"
\n" ); document.write( "They want solutions where one or both of these
\n" ); document.write( "is true, and you only disregard values of
\n" ); document.write( "\"t\" which satisfy neither inequality.
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\n" ); document.write( "(2)
\n" ); document.write( "\"+2t+%2B+7+%3E=+13+\" and \"+5t+-+4+%3C+6+\"
\n" ); document.write( "They want only solutions that satisfy both
\n" ); document.write( "of these at the same time. If one is satisfied,
\n" ); document.write( "but not the other, that is not accepted.
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\n" ); document.write( "Solving (1)
\n" ); document.write( "\"+2t+%2B+7+%3E=+13+\"
\n" ); document.write( "\"+2t+%3E=+6+\"
\n" ); document.write( "\"+t+%3E=+3+\"
\n" ); document.write( "also
\n" ); document.write( "\"+5t+-+4+%3C+6+\"
\n" ); document.write( "\"+5t+%3C+10+\"
\n" ); document.write( "\"+t+%3C+2+\"
\n" ); document.write( "If either or both is true, that is a solution, so
\n" ); document.write( "\"+2+%3E+t+%3E=+3+\" answer
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\n" ); document.write( "Solving (2)
\n" ); document.write( "\"+t+%3E=+3+\"
\n" ); document.write( "\"+t+%3C+2+\"
\n" ); document.write( "There is no value of \"t\" that is a solution to both
\n" ); document.write( "inequalities at once, so this has no solution
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\n" ); document.write( "Did I get the book answers? Hope so.
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