document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41549>Question 41549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether -4 satisfies each compound inequality<BR>\n" );
document.write( "-3x > 0 and 3x - 4 < 11\r<BR>\n" );
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document.write( "Graph the solution set to each compound inequality.<BR>\n" );
document.write( "x > -2 and x is less than or equal to 4\r<BR>\n" );
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document.write( "x > 3 or x < -3\r<BR>\n" );
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document.write( "Solve each compound inequality. Write the solution set in interval notation and graph it.<BR>\n" );
document.write( "-1 is less than or equal to 3 - 2x < 11\r<BR>\n" );
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document.write( "Solve each problem by using a compound inequality.\r<BR>\n" );
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document.write( "Two tests only. Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. jason scored only 64 on the midterm. What range of scores on the final exam would put Jason's average between 70 and 79 inclusive?\r<BR>\n" );
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document.write( "Senior citizens. The number of senior citizens (65 and over) in the United States in millions n years after 1990 can be estimated by using the formula s - 0.38n + 31.2. The percentage of senior citizens living below the poverty level n years after 1990 can be estimated by using the formula p = -0.25n + 12.2.<BR>\n" );
document.write( "a) how many senior citizens were ther in 2000?<BR>\n" );
document.write( "b) In what year will the percentage of seniors living below the poverty level reach 7%?<BR>\n" );
document.write( "c) What is the first year in which we can expect both the number of seniors to be greater than 40 million and fewer than 7% living below the poverty level? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26883 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine whether -4 satisfies each compound inequality<BR>\n" );
document.write( "-3x > 0 and 3x - 4 < 11<BR>\n" );
document.write( "-3(-4)? 0<BR>\n" );
document.write( "12>0  So -4 satisfies the inequality -3x>0<BR>\n" );
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document.write( "3x-4<11<BR>\n" );
document.write( "3(-4)-4? 11<BR>\n" );
document.write( "-12-4? 11<BR>\n" );
document.write( "-16<11 So -4 satisfies the inequality 3x-4<11<BR>\n" );
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document.write( "Graph the solution set to each compound inequality.<BR>\n" );
document.write( "x > -2 and x is less than or equal to 4 <BR>\n" );
document.write( "Mark -2  and 4 on a number line.<BR>\n" );
document.write( "Put an open circle at -2 and a solid circle at 4<BR>\n" );
document.write( "Draw a heavy line segment from -2 to 4<BR>\n" );
document.write( "That is your graph.<BR>\n" );
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document.write( "x > 3 or x < -3<BR>\n" );
document.write( "Mark -3 and 3 on a number line.<BR>\n" );
document.write( "Put an open circle at 3 and at -3.<BR>\n" );
document.write( "Draw a heavy line segment(ray) from -3 to the left. <BR>\n" );
document.write( "Draw a heavy line segment(ray) from 3 to the right.<BR>\n" );
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document.write( "Solve each compound inequality. Write the solution set in interval notation and graph it.<BR>\n" );
document.write( "-1 is less than or equal to 3 - 2x < 11 <BR>\n" );
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document.write( "Solve each problem by using a compound inequality. \r<BR>\n" );
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document.write( "Two tests only. Professor Davis counts his midterm as 2/3 of the grade, and his final as 1/3 of the grade. jason scored only 64 on the midterm. What range of scores on the final exam would put Jason's average between 70 and 79 inclusive? \r<BR>\n" );
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document.write( "Let \"m\" be the midterm score and \"f\" be the final score.<BR>\n" );
document.write( "ENEQUALITY:<BR>\n" );
document.write( "70 < (2/3)m + (1/3)f < 79<BR>\n" );
document.write( "Multiply thru by 3 to get:<BR>\n" );
document.write( "210< 2(64) + f < 239<BR>\n" );
document.write( "Subtract 128 from all segments of the inequality.<BR>\n" );
document.write( "82 < f <108<BR>\n" );
document.write( "The final grade must be between 82 and 108<BR>\n" );
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document.write( "Senior citizens. The number of senior citizens (65 and over) in the United States in millions n years after 1990 can be estimated by using the formula  s= 0.38n + 31.2. The percentage of senior citizens living below the poverty level n years after 1990 can be estimated by using the formula p = -0.25n + 12.2.<BR>\n" );
document.write( "a) how many senior citizens were ther in 2000?<BR>\n" );
document.write( "S=0.38(10)+31.2<BR>\n" );
document.write( "S=3.8+31.2 = 35 million<BR>\n" );
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document.write( "b) In what year will the percentage of seniors living below the poverty level reach 7%?\r<BR>\n" );
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document.write( "-0.25n+12.2=7<BR>\n" );
document.write( "-0.25n=-5.2<BR>\n" );
document.write( "n=20.8<BR>\n" );
document.write( "1990+20.8=2010.8<BR>\n" );
document.write( "Below 7% in the year 2011<BR>\n" );
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document.write( "c) What is the first year in which we can expect both the number of seniors to be greater than 40 million and fewer than 7% living below the poverty level?\r<BR>\n" );
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document.write( "0.38n+31.2 > 40 and   -0.25n+12.2<7<BR>\n" );
document.write( "0.38n> 8.8      and    0.25n > 5.20<BR>\n" );
document.write( "n>23.158        and        n > 20.8\r<BR>\n" );
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document.write( "1990+23.158 =2013.158<BR>\n" );
document.write( "The conditions will be met in the year 2014<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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