document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63036>Question 63036</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve each compound inequality and write the solution set using interval notation.\r<BR>\n" );
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document.write( "0<5-2x<=10 and -6<4-x<0 </SPAN>\n" );
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document.write( " given 0 < 5 - 2x < = 10\r<BR>\n" );
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document.write( "consider the first part  0 < 5 - 2x\r<BR>\n" );
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document.write( "==>         0 + 2x < 5 - 2x + 2x  [adding 2x to both the sides of the equation]<BR>\n" );
document.write( "==>          2x < 5<BR>\n" );
document.write( "==>       2x/2 < 5/2<BR>\n" );
document.write( "==> x < 5/2  --------------------(1)\r<BR>\n" );
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document.write( "Consider the second part 5 - 2x <= 10<BR>\n" );
document.write( "==>       5 - 2x - 5 <= 10 - 5<BR>\n" );
document.write( "==>        - 2x <= 5<BR>\n" );
document.write( "==>         2x >= -5 [once we changwe the sign, the inequality changes]<BR>\n" );
document.write( "==>        2x/2 >= -5/2<BR>\n" );
document.write( "==>         x >= - 5/2  ------------------(2)\r<BR>\n" );
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document.write( "Combining (1) andd (2) the solution in interval notation would be [-5/2, 5/2)\r<BR>\n" );
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document.write( "(2)  -6 < 4-x < 0\r<BR>\n" );
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document.write( " Consider the first part of the inequality -6 < 4-x<BR>\n" );
document.write( "==>                                   -6 - 4 < 4 - x - 4<BR>\n" );
document.write( "==>                                  - 10 < -x<BR>\n" );
document.write( "==>                                    10 > x ---------------(1)\r<BR>\n" );
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document.write( "the second part, 4 - x < 0<BR>\n" );
document.write( "==>               4 - x - 4 < 0 - 4<BR>\n" );
document.write( "==>                  -x < - 4<BR>\n" );
document.write( "==>                   x > 4 ------------------------(2)\r<BR>\n" );
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document.write( "Combining (1) andd (2) the solution in interval notation would be (4, 10)\r<BR>\n" );
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document.write( "Good Luck!!!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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