document.write( "Question 427402: Solve the compound inequality.\r
\n" ); document.write( "\n" ); document.write( "5 > - 2x + 4 or 8 < or = to -2x + 3\r
\n" ); document.write( "\n" ); document.write( "I came up with (∞, -5/2] ∪ (-1/2,∞) Is that correct?
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Algebra.Com's Answer #297226 by John10(297)\"\" \"About 
You can put this solution on YOUR website!
Solve the compound inequality.\r
\n" ); document.write( "\n" ); document.write( "5 > - 2x + 4 or 8 < or = to -2x + 3\r
\n" ); document.write( "\n" ); document.write( "We solve each inequality\r
\n" ); document.write( "\n" ); document.write( "1) 5 > -2x + 4\r
\n" ); document.write( "\n" ); document.write( "5 - 4 > -2x + 4 - 4\r
\n" ); document.write( "\n" ); document.write( "1 > -2x\r
\n" ); document.write( "\n" ); document.write( "x > -1/2 (we have to change the sign of inequality because we divide both sides by negative number)\r
\n" ); document.write( "\n" ); document.write( "2) 8 <= -2x + 3
\n" ); document.write( " 8 - 3 <= -2x + 3 - 3
\n" ); document.write( " 5 <= -2x
\n" ); document.write( " x <= -5/2 (we have to change the sign of inequality because we divide both sides by negative number)\r
\n" ); document.write( "\n" ); document.write( "Thus the solution is (- inf. , -5/2)U (-1/2, inf.).YOUR ANSWER IS 100% CORRECT!
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