How do you graph #2x+y <=6#?
graph{2x+y<=6 [-10, 10, -5, 5]}
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To graph the inequality 2x + y ≤ 6, follow these steps:
- Start by graphing the boundary line 2x + y = 6 as a solid line.
- Choose a test point not on the boundary line and substitute its coordinates into the inequality. Common choices include the origin (0,0) or any other point easily identifiable on the coordinate plane.
- If the test point satisfies the inequality, shade the region containing the test point. If not, shade the region opposite to the test point.
- The shaded region represents all the points that satisfy the inequality.
This approach ensures that you accurately depict the solution set of the inequality on the coordinate plane.
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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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