5. Linear Inequalities
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To graph the inequality, you have to draw the boundary line, then decide which side of the boundary line to shade.
Graphing an inequality involves two main steps.
Inequality | Boundary Line |
---|---|
y≥ 3x-2 | y=3x-2 |
Fortunately, this equation is already in slope-intercept form, so we can identify the slope m and y-intercept (0, b). y=3x-2 ⇔ y=3x+( -2) We will plot the y-intercept (0, -2), then use the slope m=3 to plot another point on the line. Connecting these points with a solid line will give us the boundary line of our inequality. Note that the boundary line is solid, not dashed, because the inequality is not strict.
x= 0, y= 0
Identity Property of Multiplication