document.write( "Question 1191105: Consider the following absolute value equation.
\n" ); document.write( "|5x + 9| − 3 = 13
\n" ); document.write( "Write two equivalent equations that do not contain an absolute value symbol. (Select all that apply.)
\n" ); document.write( "A.5x + 3 = 22
\n" ); document.write( "B.5x + 9 = 16
\n" ); document.write( "C.5x + 9 = −16
\n" ); document.write( "D.5x − 9 = 16
\n" ); document.write( "E.5x − 3 = −22
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Algebra.Com's Answer #822855 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The given equation  \r\n" );
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document.write( "    |5x+9| - 3 = 13    (1)\r\n" );
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document.write( "is the same as the absolute value equation\r\n" );
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document.write( "    |5x+9| = 16        (2)    (a canonical form of a linear absolute value equation).\r\n" );
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document.write( "This last equation is equivalent to the system of two equations\r\n" );
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document.write( "    5x+9 = 16          (3)\r\n" );
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document.write( "or\r\n" );
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document.write( "    5x+9 = -16,        (4)\r\n" );
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document.write( "connected by the service word OR.\r\n" );
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document.write( "Thus the given equation is equivalent to the system of two equations  (B)  and  (C),  connected with the service word OR.\r\n" );
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document.write( "It means that the set of solutions to equation (1) is the union of the sets of solutions to equations  (3)  and  (4).\r\n" );
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