document.write( "Question 250985: Use at least one inequality or compound inequality to express the answer. For answers with more than one inequality use a comma or the word 'or' to seperate the answers. \r
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document.write( "(x+5) (x-20) (x+3) > 0\r
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document.write( "Solution set is:\r
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document.write( "Thanks \n" );
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Algebra.Com's Answer #182762 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Use at least one inequality or compound inequality to express the answer. For answers with more than one inequality use a comma or the word 'or' to seperate the answers. \n" ); document.write( "(x+5) (x-20) (x+3) > 0 \n" ); document.write( "------------ \n" ); document.write( "Find values of x which are not part of the solution: \n" ); document.write( "x = -5, x= 20, x = -3 \n" ); document.write( "----------------------------- \n" ); document.write( "Draw a number line and plot x = -5,-3,20 \n" ); document.write( "----------------------------- \n" ); document.write( "Test a value in each of the four open intervals \n" ); document.write( "in the inequality to see where the solutions lie. \n" ); document.write( "Note: You need only check the sign of the product. \n" ); document.write( "--- \n" ); document.write( "If x = -7 you get: -*-*- < 0 so no solutions in (-inf,-5) \n" ); document.write( "--- \n" ); document.write( "If x = -4 you get: +*-*- > 0 so solutions in (-5,-3) \n" ); document.write( "--- \n" ); document.write( "If x = 19 you get: +*-*+ < 0 so no solutions in (-3,20) \n" ); document.write( "--- \n" ); document.write( "If x = 21, you get: +*+*+ > 0 so solutions in (20,+inf) \n" ); document.write( "=========================================================== \n" ); document.write( "Solution: (-5,-3)U(20,+inf) \n" ); document.write( "=========================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |