Example23

# Example23 - Now select a point not on the boundary say(0,0...

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Example 1 Graph 3 x + 4 y < 12. First, draw the graph of 3 x + 4 y = 12. If you use the x- intercept and y -intercept method, you get x -intercept (4,0) and y -intercept (0,3). If you use the slope-intercept method, the equation, when written in slope-intercept ( y = mx + b ) form, becomes Because the original inequality is <, the boundary line will be a dashed line. Look at Figure 1.
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Unformatted text preview: Now select a point not on the boundary, say (0,0). Substitute this into the original inequality: This is a true statement. This means that the “(0,0) side” of the boundary line is the desired region to be shaded. Now, shade that region as shown in Figure 2. Figure 1. The boundary is dashed....
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