document.write( "Question 318701: They are asking me to sketch the graph of each linear inequality one example is y>-2/5x +1 can you give me a way to solve this problem and the rest of them \n" ); document.write( "

Algebra.Com's Answer #228138 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
sketch the graph of each linear inequality one example is
\n" ); document.write( "y>-2/5x +1
\n" ); document.write( "---------------
\n" ); document.write( "You have to graph the boundary of the inequality.
\n" ); document.write( "The boundary is y = (-2/5)x + 1
\n" ); document.write( "---
\n" ); document.write( "You need two points:
\n" ); document.write( "(0,1) and (5,-1)
\n" ); document.write( "Plot those and draw a dashed line thru them.
\n" ); document.write( "That is the boundary and it is not part of the solution set.
\n" ); document.write( "---------------
\n" ); document.write( "The solution is on one side or the other of the boundary.
\n" ); document.write( "---
\n" ); document.write( "Test (0,0) in the inequality.
\n" ); document.write( "You get 0 > (-2/5)*0 +1
\n" ); document.write( "0 > 1
\n" ); document.write( "---
\n" ); document.write( "That is false. That means the solutions are not on the
\n" ); document.write( "side of the boundary that contains (0,0).
\n" ); document.write( "It is on the other side.
\n" ); document.write( "------
\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3E%28-2%2F5%29x%2B1%29\"$
\n" ); document.write( "=================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

\n" );