2e+Graphing+inequalities+in+2+variables+(shading)

For additional help on Graphing inequalities, see http://www.purplemath.com/modules/ineqgrph.htm

Example 1: 3y + 1x > 9 (dashed line)  3y > -x + 9  3y/3 > -x/3 + 9/3 y > -1/3x + 3 0 > 1/3(0) + 3 0 > 0 + 3 0 > 3 (untrue statement, therefore you shade the part that does not include the point of origin, in this case it would be above the line)  Example 2: -2y + 3 ≤ 4x (don't let the less than or equal to sign fool you into shading below the line)   <span style="color: rgb(5, 5, 5);">-2y <span class="Apple-style-span" style="border-collapse: collapse; color: rgb(0, 0, 0); font-family: Verdana; line-height: 17px;">≤ 4x - 3 -2y/-2 ≤ 4x/-2 - 3/-2 y ≥ -2x + 3/2 (remember to flip the sign when dividing or multiplying by a negative number) 0 ≥ -2(0) + 3/2  0 ≥ 3/2 (untrue statement, shade <span class="Apple-style-span" style="border-collapse: separate; color: rgb(5, 5, 5); font-family: arial; line-height: 19px;">the part that does not include the point of origin) <span style="color: rgb(5, 5, 5);">Remember to make your line solid/dashed depending on the sign <span class="Apple-style-span" style="color: rgb(5, 5, 5);">