document.write( "Question 667821: 4x-3y<8 \n" ); document.write( "

Algebra.Com's Answer #415199 by tam144(6) $\"\"$ $\"About$

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The best way is to solve it by graphing.
\n" ); document.write( "4x - 3y - 8 < 0 (1)\r
\n" ); document.write( "\n" ); document.write( "First graph the linear function: f(x,y) = 4x - 3y - 8 = 0.\r
\n" ); document.write( "\n" ); document.write( "When x = 0 ---> y = -8/3
\n" ); document.write( "When y = 0 ---> x = 2.
\n" ); document.write( "The graph is the line passing at 2 points A(0, -8/3) and B(2, 0).
\n" ); document.write( "Now use the check point method to find the area that is the solution set.
\n" ); document.write( "Check with the origin O. Substitute x = 0 and y = 0 into the inequality (1). We get -8 < 0. It is true, then the area containing the origin is the solution set.
\n" ); document.write( "Re-check with the point (3, 0). Substitute y = 0 and x = 3 into the inequality (1). We get: 12 - 8 < 0. It is not true, then the other area is the answer. \n" ); document.write( "

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