MTH-100 Lecture Notes - Lecture 35: Linear Equation
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There are 16 different pairs of inequality symbols possible. Example 1: solve the system of linear inequalities: (1) (2) x. The test point (0, 0) is not a solution, so shade away from (0, 0) [see dashed red line and shading below and left of the border] The purple region is where the two shadings overlap. ( 5, 0) is in the shaded region so should check in both equations. Example 2: solve the system of linear inequalities: (1) (2) Equation (1) has a slope of 2 and intercept (0, 1). The test point (0, 0) is not a solution, so shade away from (0, 0) [see solid blue line and shading above and left of the border] Equation (2) has a slope of 2 and intercept of (0, 3). The test point (0, 0) is a solution, so shade including (0, 0) [see dashed red line and shading above and right of the border]
