document.write( "Question 306247: Which answer choice is the set of all solutions to the inequality |x + 3| > -2? \r
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document.write( "A. There are no solutions.
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document.write( " B. x < -5 or x > -1
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document.write( "C. x > -5 and x < -1
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document.write( "D. All real numbers. \n" );
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Algebra.Com's Answer #414516 by kevwill(135)![]() ![]() You can put this solution on YOUR website! I'm going to have to support the original solver and disagree with the responder. \n" ); document.write( " \n" ); document.write( "Let x = 0. Then we have: \n" ); document.write( "|0 + 3| > -2 \n" ); document.write( "|3| > -2 \n" ); document.write( "3 > -2\r \n" ); document.write( "\n" ); document.write( "Since this inequality is true, we have established that x = 0 is one possible value, we have eliminated options A and C. \n" ); document.write( " \n" ); document.write( "But as the original solver pointed out, all absolute values are non-negative and consequently greater than -2. \n" ); document.write( " \n" ); document.write( "The correct answer is D. \n" ); document.write( " \n" ); document.write( " |