document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190076>Question 1190076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x-5y<4<BR>\n" );
document.write( "I need it in slope-intercept form <BR>\n" );
document.write( "And on a graph with the shaded solution<BR>\n" );
document.write( "(for the shaded solution you could just say the left or right of the line of that's easier for you)<BR>\n" );
document.write( ":) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821630 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your inequality is 2x - 5y < 4<BR>\n" );
document.write( "add 5y to both sides of the inequality to get:<BR>\n" );
document.write( "2x < 4 + 5y<BR>\n" );
document.write( "subtract 4 from both sides of the inequality to get:<BR>\n" );
document.write( "2x - 4 < 5y<BR>\n" );
document.write( "divide both sides of the inequality by 5 to get:<BR>\n" );
document.write( "2/5 * x - 4/5 < y<BR>\n" );
document.write( "if a < b, then b > a, so your inequality becomes:<BR>\n" );
document.write( "y > 2/5 * x - 4/5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "another way to solve this is shown below:<BR>\n" );
document.write( "start with 2x - 5y < 4<BR>\n" );
document.write( "subtract 2x from both sides of the inequality to get:<BR>\n" );
document.write( "-5y < -2x + 4<BR>\n" );
document.write( "multiply both sides of the inequality by -1 to get:<BR>\n" );
document.write( "5y > 2x - 4<BR>\n" );
document.write( "multiplying both sides of an inequality by a negative number reverses the inequalit6y.<BR>\n" );
document.write( "divide both sides of the inequaity by 5 to get:<BR>\n" );
document.write( "y > 2/5 * x - 4/5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's your inequality in slope intercept form.<BR>\n" );
document.write( "your equation is y = 2/5 * x - 4/5.<BR>\n" );
document.write( "any value of y greater than that satisfies your inequality.<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "when x = 5, y = 2/5 * x - 4/5 which becomes y = 2/5 * 5 - 4/5 which becomes y = 2 - 4/5 which becomes y = 1 and 1/5.<BR>\n" );
document.write( "any value of y greater than 1 and 1/5 would satisfy the inequality.<BR>\n" );
document.write( "any value of y less than or equal to 1 and 1/5 would not.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you would graph y = 2/5 * x - 4/5.<BR>\n" );
document.write( "you would then shade the region above that line.<BR>\n" );
document.write( "that's your region of feasibility.<BR>\n" );
document.write( "any value of y in the shaded region satisfies the inequality.<BR>\n" );
document.write( "note that the value of y has to have a corresponding value of x formed by the inequality.<BR>\n" );
document.write( "for example, assume the value of y is 25.<BR>\n" );
document.write( "the inequality states that 25 > 2/5 * x - 4/5.<BR>\n" );
document.write( "add 4/5 to both sides of that inequality to get 25 + 4/5 > 2/5 * x.<BR>\n" );
document.write( "solve for x to get 64.5 > x<BR>\n" );
document.write( "any value of x less than 64.5 would satisfy the inequality.<BR>\n" );
document.write( "for example, if x = 64, then 25 > 2/5 * 64 - 4/5 becomes 25 > 24.8 which satisfies the inequality.<BR>\n" );
document.write( "as long as x is less than 64.5 the inequality would be saatisfied.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the equation of y = 2/5 * x - 4/5 can be graphed as shown below.<BR>\n" );
document.write( "the area above the graph satisfies the inequality.<BR>\n" );
document.write( "the area below or on the graph doesn't.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when you find a value of y above the line, you need to find the corresponding value of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the value of y is a coordinate point of (x,y) where the value of x is the corresponding value of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is shown in the graph below for a value of y that is equal to 30.<BR>\n" );
document.write( "that value of y = 30 will be greater than y = 2x - 4/5 for all values of x less than or equal to 77.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the graph looks like this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/012601.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the shaded graph looks like this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/012602.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in both graphs, you can see that any value of x less than 77 will satisfy the inequality.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let me know if you have any questions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "theo\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );