Question 948434: Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.
1/3x - y >= 1
Found 2 solutions by josgarithmetic, MathTherapy: Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website! Solve for y. The order with y tells you where to shade. What type of boundary line, is either to exclude or include the line associated with the linear inequality. Yours is ".... OR EQUAL TO...", meaning the line is included.
Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!
Based on the following inequality, describe what type of boundary line your graph would have and whether you would shade above or below.
1/3x - y >= 1
With inequality: , the line will be SOLID as opposed to being broken.
The y-intercept is at (0, - 1), which is below the origin. Note that, as the slope is positive (> 0), this
graph will have a positive slope.
Use test point (0, 0) and if this point satisfies the original inequality, then shade above the line to include the
origin. However, if this point DOES NOT satisfy the original inequality, then shade BELOW the line to exclude the origin.
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