document.write( "Question 1100758: Solve the following compound inequality and show the solution on a number line and in interval notation.
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Algebra.Com's Answer #715309 by ikleyn(52908) $\"\"$ $\"About$

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document.write( "To solve the compound inequality, you need to solve EACH inequality SEPARATELY and then TO TAKE THE INTERSECTION of their solution domains \r\n" );
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document.write( "as the final solution to the compound inequality.\r\n" );
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document.write( "1)  2x + 5 > 7.    Subtract 5 from both sides. You will get an equivalent inequality\r\n" );
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document.write( "    2x < 7 - 5,\r\n" );
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document.write( "    2x < 2.        Now divide both sides by 2.  You will get an equivalent inequality\r\n" );
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document.write( "    x < 1.\r\n" );
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document.write( "    It is the solution of the first part of your compound inequality.\r\n" );
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document.write( "2)  3x < 9.        Divide both sides by 3.  You will get an equivalent inequality\r\n" );
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document.write( "     x < 3.\r\n" );
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document.write( "3)  Now you have two solution domains for separate inequalities:\r\n" );
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document.write( "      - the solution domain for the first inequality  x < 1,     and\r\n" );
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document.write( "      - the solution domain for the second inequality  x < 3.\r\n" );
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document.write( "    Their intersection is the domain  x < 1.\r\n" );
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document.write( "    It is the final solution to your original compound inequality.\r\n" );
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document.write( "    In the interval form it is (,).\r\n" );
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