document.write( "Question 815168: I need help solving this equation in linear inequalities:
\n" ); document.write( "y<=2x
\n" ); document.write( "2x+3y<=0 \n" ); document.write( "

Algebra.Com's Answer #490761 by rothauserc(4718) $\"\"$ $\"About$

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y<=2x
\n" ); document.write( "2x+3y<=0
\n" ); document.write( "note that the first equation is solved for y, now we solve the second equation for y
\n" ); document.write( "3y <= -2x
\n" ); document.write( "y <= -2x/3
\n" ); document.write( "now we graph both inequalities
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C2x%2C+y%3C-2x%2F3%29+\"$
\n" ); document.write( "the shaded area is where the inequalities overlap
\n" ); document.write( "now let's look at the x values from each inequality
\n" ); document.write( "x >= y/2 from first equation
\n" ); document.write( "x <= -3y/2
\n" ); document.write( "we can combine the two inequalities
\n" ); document.write( "y/2 =< x <= -3y/2
\n" ); document.write( " \r
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