document.write( "Question 1208928: If |x + 2| < 5, then a < x < b. Find a and b.\r
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Algebra.Com's Answer #847461 by ikleyn(52914) $\"\"$ $\"About$

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\n" ); document.write( "If |x + 2| < 5, then a < x < b. Find a and b.
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\n" ); document.write( "\n" ); document.write( "        The formulation of the problem in the post is incorrect.\r
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\n" ); document.write( "\n" ); document.write( "        The correct formulation is \" find the maximum a and the minimum b such that a < x < b. \"\r
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\n" ); document.write( "\n" ); document.write( "        Or even simpler: \"Find the solution set for x\".\r
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\n" ); document.write( "\n" ); document.write( "        Below is the solution for this modified formulation.\r
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document.write( "if  |x+2| < 5,  it means that\r\n" );
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document.write( "    -5 < x+2 < 5.\r\n" );
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document.write( "Subtract 2 from each of the 3 sides of this compound inequality.\r\n" );
document.write( "You will get then\r\n" );
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document.write( "    -7 < x < 3.\r\n" );
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document.write( "It is what you want to get:  a = -7;  b = 3.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved (in the right modified formulation).\r
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