document.write( "Question 1203797: Solve the given inequalities and write the solution set using interval notation. -9<2x+7≤19 \n" ); document.write( "

Algebra.Com's Answer #839653 by ikleyn(52798) $\"\"$ $\"About$

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\n" ); document.write( "Solve the given inequality and write the solution set using interval notation. -9 < 2x+7 ≤ 19
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document.write( "You are given a compound inequality\r\n" );
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document.write( "    -9 < 2x+7 ≤ 19.\r\n" );
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document.write( "Subtract  7  from all  3  parts of this compound inequality.  You will get an equivalent compound inequality\r\n" );
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document.write( "    -9 - 7 <  2x  <=  19 - 7,\r\n" );
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document.write( "or\r\n" );
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document.write( "    -16 < 2x <= 12.\r\n" );
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document.write( "Now divide by  2  all  3  parts the last compound inequality.  You will get an equivalent compound inequality\r\n" );
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document.write( "     -8 < x < = 6.\r\n" );
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document.write( "It is your answer: The solution to the original inequality is the interval (-8,6] of the number line.\r\n" );
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document.write( "Left endpoint is not included, while right endpoint is included to the solution set.\r\n" );
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