document.write( "Question 1135617: Penelope is playing a number game with her sister June. Penelope is thinking of a number, x, and wants June to guess it. Five more than two times her number is between 3 and 17. Write a compound inequality that shows the range of numbers that Penelope might be thinking of. \n" ); document.write( "

Algebra.Com's Answer #753295 by ikleyn(52908) $\"\"$ $\"About$

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document.write( "The compound inequality you are asking for is\r\n" );
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document.write( "    3 <= 2x + 5 <= 17.\r\n" );
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document.write( "If you want to get its solution, then\r\n" );
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document.write( "a)  subtract 5 from all three components of the inequality\r\n" );
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document.write( "    3 - 5 <= 2x <= 17-5,   or\r\n" );
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document.write( "    -2    <= 2x <= 12\r\n" );
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document.write( "b)  divide by 2 all three components of the last inequality\r\n" );
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document.write( "     -1 <= x <= 6.\r\n" );
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document.write( "It is your ANSWER.  Penelope's number is between -1  and 6, inclusively.    \r\n" );
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\n" ); document.write( "\n" ); document.write( "On compound inequalities, see the lesson\r
\n" ); document.write( "\n" ); document.write( " - Solving compound inequalities \r
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