document.write( "Question 59636: Solve the following
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\n" ); document.write( "a) | 2x - 9 | < 3 \r
\n" ); document.write( "\n" ); document.write( "b) | 3x - 4 | < -13
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\n" ); document.write( "c) | 2x - 2 | = | x + 1 |
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\n" ); document.write( "d) Determine which of the following points are solutions to the system
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\n" ); document.write( " y > -2x + 1
\n" ); document.write( " y < 3x + 5 (-3, 2), (-1, 5), (3, 6)
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Algebra.Com's Answer #40998 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Solve the following
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\n" ); document.write( "a) |2x-9|<3
\n" ); document.write( "\"-3%3C2x-9%3C3\"
\n" ); document.write( "\"-3%2B9%3C2x-9%2B9%3C3%2B9\"
\n" ); document.write( "\"6%3C2x%3C12\"
\n" ); document.write( "\"6%2F2%3C2x%2F2%3C12%2F2\"
\n" ); document.write( "\"3%3Cx%3C6\" \r
\n" ); document.write( "\n" ); document.write( "b) |3x-4|<-13
\n" ); document.write( "No solution |x| cannot be less than 0.
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\n" ); document.write( "c) |2x-2|=|x+1|
\n" ); document.write( "\"%282x-2%29%5E2=%28x%2B1%29%5E2\" Square both sides
\n" ); document.write( "\"4x%5E2-8x%2B4=x%5E2%2B2x%2B1\" Set = to 0
\n" ); document.write( "\"4x%5E2-x%5E2-8x-2x%2B4-1=x%5E2-x%5E2%2B2x-2x%2B1-1\"
\n" ); document.write( "\"3x%5E2-10x%2B3=0\" Factor
\n" ); document.write( "\"3x%5E2-9x-x%2B3=0\"
\n" ); document.write( "\"3x%28x-3%29-1%28x-3%29=0\"
\n" ); document.write( "\"%283x-1%29%28x-3%29=0\"
\n" ); document.write( "3x-1=0 and x-3=0
\n" ); document.write( "3x-1+1=0+1 and x-3+3=0+3
\n" ); document.write( "3x=1 and x=3
\n" ); document.write( "3x/3=1/3 and x=3
\n" ); document.write( "x=1/3 and x=3
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\n" ); document.write( "d) Determine which of the following points are solutions to the system
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\n" ); document.write( " \"y%3E-2x%2B1\"
\n" ); document.write( " \"y%3C3x%2B5+\" (-3, 2), (-1, 5), (3, 6)
\n" ); document.write( "For (-3,2)
\n" ); document.write( "\"2%3E-2%28-3%29%2B1\"
\n" ); document.write( "\"2%3E6%2B1\"
\n" ); document.write( "\"2%3E7\" 2 is not greater than 7 (-3,2) is not a solution.
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\n" ); document.write( "For (-1,5)
\n" ); document.write( "\"5%3E-2%28-1%29%2B1\"
\n" ); document.write( "\"5%3E2%2B1\"
\n" ); document.write( "\"5%3E3\" It's true for the first equation, check the second.
\n" ); document.write( "\"5%3C3%28-1%29%2B5\"
\n" ); document.write( "\"5%3C-3%2B5\"
\n" ); document.write( "\"5%3C2\" 5 is not less than 2 (-1,5) is not a solution of the system.
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\n" ); document.write( "For (3,6)
\n" ); document.write( "\"6%3E-2%283%29%2B1\"
\n" ); document.write( "\"6%3E-6%2B1\"
\n" ); document.write( "\"6%3E-5\" It's true for the first equation, check the second.
\n" ); document.write( "\"6%3C3%283%29%2B5\"
\n" ); document.write( "\"6%3C9%2B5\"
\n" ); document.write( "\"6%3C14\" It's true for the second also, therefore (3,6) is a solution to the system.
\n" ); document.write( "Happy Calculating!!!
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