How do you graph the system #2x-y>=2# and #x-2y>=2#?
Firstly, we simplify the system bringing y at the left: Now you have to draw the two line in the Cartesian plane: By signing up, you agree to our Terms of Service and Privacy Policy
To graph the system of inequalities (2x - y \geq 2) and (x - 2y \geq 2), follow these steps:
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Graph the boundary lines for each inequality by replacing the inequality symbol with an equal sign.
- For (2x - y = 2), rearrange the equation to (y = 2x - 2) and plot the line.
- For (x - 2y = 2), rearrange the equation to (y = \frac{1}{2}x - 1) and plot the line.
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Since the inequalities are "greater than or equal to," the shaded region will be above or on the boundary lines.
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Shade the region above or on each boundary line.
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The solution region for the system of inequalities is the overlapping shaded region.
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If needed, test a point not on the boundary lines to determine which side of each line to shade. For example, (0,0) is a common test point.
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Label the solution region if necessary.
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Ensure your graph is accurate and clear.
That's how you graph the system of inequalities (2x - y \geq 2) and (x - 2y \geq 2).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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