document.write( "Question 1152867: If 8 less than the product of a number and - 3 is greater than 7, which of the following could be that number?
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Algebra.Com's Answer #774980 by Edwin McCravy(20056)\"\" \"About 
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If 8 less than the product of a number and - 3 is greater than 7, which of the
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document.write( "We put in some parentheses and brackets:\r\n" );
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If [8 less than (the product of a number and -3)] is greater than 7, which of
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document.write( "We start with simplifying this: (the product of a number and -3) \r\n" );
document.write( "That simplifies to -3x.\r\n" );
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document.write( "Then the problem becomes: \r\n" );
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If [8 less than -3x] is greater than 7, which of the following could be that
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document.write( "Then we simplify this:  [8 less than -3x]\r\n" );
document.write( "That simplifies to -3x-8 because to make -3x  less we start with the thing we\r\n" );
document.write( "want to make less, which is -3x, and then we subtract 8 from it, so we get\r\n" );
document.write( "-3x-8.\r\n" );
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document.write( "Then the problem becomes: \r\n" );
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If [-3x-8] is greater than 7, which of the following could be that number?
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document.write( "Now the problem is\r\n" );
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If [-3x-8] > 7, which of the following could be that number?
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document.write( "We solve that inequality:\r\n" );
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document.write( "-3x-8 > 7\r\n" );
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document.write( "We add +8 to both sides and get\r\n" );
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document.write( "-3x > 15\r\n" );
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document.write( "Then we divide both sides by -3, remembering that when we divide an\r\n" );
document.write( "inequality by a negative number, we must flip the inequality symbol:\r\n" );
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document.write( " x < -5.\r\n" );
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document.write( "If we put A, B, C, and D on a number line we have\r\n" );
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document.write( "-o---o---------------------------------------o---o---\r\n" );
document.write( "-6  -5  -4  -3  -2  -1   0   1   2   3   4   5   6  7     \r\n" );
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document.write( "and we see that only -6 is less than -5.\r\n" );
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document.write( "So the correct answer is D.\r\n" );
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document.write( "Edwin
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