document.write( "Question 83553: I am asking someone to please help me with my last 2 problems for my final which has to be in before 12 midnight. I do not understand what to do with
\n" ); document.write( "either one of these problems. Thanking you in advance.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve the following system of linear inequalities by graphing.
\n" ); document.write( "3x+4y<12
\n" ); document.write( "x+3y<6
\n" ); document.write( "y>0\r
\n" ); document.write( "\n" ); document.write( "give the coordinates of the point graphed.\
\n" ); document.write( "A)(-3,2)
\n" ); document.write( "B)(2,-3)
\n" ); document.write( "C)(3,-2)
\n" ); document.write( "D) (-2,3) \n" ); document.write( "

Algebra.Com's Answer #60087 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
SOLUTION BY EDWIN McCRAVY\r
\n" ); document.write( "\n" ); document.write( "I am asking someone to please help me with my last 2 problems for my final which has to be in before 12 midnight. I do not understand what to do with
\n" ); document.write( "either one of these problems. Thanking you in advance. \r
\n" ); document.write( "\n" ); document.write( "solve the following system of linear inequalities by graphing.
\n" ); document.write( "3x+4y<12
\n" ); document.write( "x+3y<6
\n" ); document.write( "y>0
\n" ); document.write( "give the coordinates of the point graphed.
\n" ); document.write( "A)(-3,2)
\n" ); document.write( "B)(2,-3)
\n" ); document.write( "C)(3,-2)
\n" ); document.write( "D) (-2,3)
\n" ); document.write( "

\r\n" );
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document.write( "Plug each one into all the inequalities to see \r\n" );
document.write( "if they are all true.\r\n" );
document.write( "I'll skip around.\r\n" );
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document.write( "Let's try D first:\r\n" );
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document.write( "Substitute (x,y) = (-2,3)\r\n" );
document.write( "\r\n" );
document.write( "Plug in        3x+4y < 12\r\n" );
document.write( "        3(-2) + 4(3) < 12\r\n" );
document.write( "             -6 + 12 < 12\r\n" );
document.write( "                   6 < 12\r\n" );
document.write( "\r\n" );
document.write( "That's true:\r\n" );
document.write( "\r\n" );
document.write( "Plug in         x+3y < 6\r\n" );
document.write( "         (-2) + 3(3) < 6\r\n" );
document.write( "              -2 + 9 < 6  \r\n" );
document.write( "                   7 < 6\r\n" );
document.write( "\r\n" );
document.write( "Oh, oh, that's false. So the answer isn't (D).\r\n" );
document.write( "\r\n" );
document.write( "Now let's try (B)\r\n" );
document.write( "\r\n" );
document.write( "Substitute (x,y) = (2,-3)\r\n" );
document.write( "\r\n" );
document.write( "Plug in        3x+4y < 12\r\n" );
document.write( "        3(2) + 4(-3) < 12\r\n" );
document.write( "              6 - 12 < 12\r\n" );
document.write( "                  -6 < 12\r\n" );
document.write( "\r\n" );
document.write( "That's true:\r\n" );
document.write( "\r\n" );
document.write( "Plug in         x+3y < 6\r\n" );
document.write( "         (2) + 3(-3) < 6\r\n" );
document.write( "               2 - 9 < 6  \r\n" );
document.write( "                  -7 < 6\r\n" );
document.write( "\r\n" );
document.write( "That's true.\r\n" );
document.write( "\r\n" );
document.write( "Plug in y > 0\r\n" );
document.write( "       -3 > 0\r\n" );
document.write( "\r\n" );
document.write( "Oh, oh, that's false. So the answer isn't (B).\r\n" );
document.write( "\r\n" );
document.write( "Now let's try (C)\r\n" );
document.write( "\r\n" );
document.write( "Substitute (x,y) = (3,-2)\r\n" );
document.write( "\r\n" );
document.write( "Plug in        3x+4y < 12\r\n" );
document.write( "        3(3) + 4(-2) < 12\r\n" );
document.write( "              9 - 8 < 12\r\n" );
document.write( "                   1 < 12\r\n" );
document.write( "\r\n" );
document.write( "That's true:\r\n" );
document.write( "\r\n" );
document.write( "Plug in         x+3y < 6\r\n" );
document.write( "         (3) + 3(-3) < 6\r\n" );
document.write( "               3 - 9 < 6  \r\n" );
document.write( "                  -3 < 6\r\n" );
document.write( "\r\n" );
document.write( "That's true.\r\n" );
document.write( "\r\n" );
document.write( "Plug in y > 0\r\n" );
document.write( "       -2 > 0\r\n" );
document.write( "\r\n" );
document.write( "Oh, oh, that's false. So the answer isn't (C).\r\n" );
document.write( "\r\n" );
document.write( "So let's try (A).\r\n" );
document.write( "Let's see:\r\n" );
document.write( "\r\n" );
document.write( "Substitute (x,y) = (-3,2)\r\n" );
document.write( "\r\n" );
document.write( "Plug in        3x+4y < 12\r\n" );
document.write( "        3(-3) + 4(2) < 12\r\n" );
document.write( "              -9 + 8 < 12\r\n" );
document.write( "                  -1 < 12\r\n" );
document.write( "\r\n" );
document.write( "That's true:\r\n" );
document.write( "\r\n" );
document.write( "Plug in         x+3y < 6\r\n" );
document.write( "         (-3) + 3(2) < 6\r\n" );
document.write( "              -3 + 6 < 6  \r\n" );
document.write( "                   3 < 6\r\n" );
document.write( "\r\n" );
document.write( "That's true.\r\n" );
document.write( "\r\n" );
document.write( "Plug in y > 0\r\n" );
document.write( "        2 > 0\r\n" );
document.write( "\r\n" );
document.write( "That's true.  So they are all true!  So that\r\n" );
document.write( "means (x,y) = (-3,2) is the only one of the \r\n" );
document.write( "4 that satisfies all three of the given\r\n" );
document.write( "inequalities,making the correct choice (A).\r\n" );
document.write( "\r\n" );
document.write( "Edwin

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