document.write( "Question 540607: How many integral values of x satisfy inequality 8 < | 3x + 4| < 32 \n" ); document.write( "
Algebra.Com's Answer #353792 by lwsshak3(11628)\"\" \"About 
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How many integral values of x satisfy inequality 8 < | 3x + 4| < 32
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\n" ); document.write( "solve for (3x+4)>0
\n" ); document.write( "8 < | 3x + 4| < 32
\n" ); document.write( "8 < 3x + 4 < 32
\n" ); document.write( "add-4
\n" ); document.write( "4 < 3x < 28
\n" ); document.write( "divide by 3
\n" ); document.write( "4/3 < x < 28/3
\n" ); document.write( "solution: (4/3,28/3)
\n" ); document.write( "number line:
\n" ); document.write( "<.......(4/3<===>28/3)...........>
\n" ); document.write( "..
\n" ); document.write( "solve for (3x+4)<0
\n" ); document.write( "8 < -3x - 4 < 32
\n" ); document.write( "add 4
\n" ); document.write( "12 < -3x < 36
\n" ); document.write( "divide by -3
\n" ); document.write( "-4 < x < -12
\n" ); document.write( "solution: (-∞,-12) U (-4,∞)
\n" ); document.write( "number line:
\n" ); document.write( "<===-12)......(-4====> \n" ); document.write( "
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