document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192976>Question 1192976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the fact that f(x) = √x is increasing on its domain to solve the inequalities: √(7-3x)<14<BR>\n" );
document.write( "√(2x+1)>√(x+7)<BR>\n" );
document.write( "√(5-8x)≥√(x+3)\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824925 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13208)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Because the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28A%29 ALIGN=MIDDLE  ALT=\"sqrt%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is increasing on its domain, when solving an inequality of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28A%29%3Esqrt%28B%29 ALIGN=MIDDLE  ALT=\"sqrt%28A%29%3Esqrt%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > the solution set is not changed when we square the expressions on both sides of the inequality.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28A%29%3Esqrt%28B%29 ALIGN=MIDDLE  ALT=\"sqrt%28A%29%3Esqrt%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%3EB ALIGN=MIDDLE  ALT=\"A%3EB\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In each of your examples, squaring the expressions on both sides of the inequality leads to a linear equation that is easily solved with basic algebra.<br><BR>\n" );
document.write( "I leave the work to you.<br><BR>\n" );
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