How do you graph the inequality #-9<=2x+y#?
Solve for
graph{y=-9-2x [-10, 5, -15, 5]}
To determine which side to shade, plug in these values and find which one makes the inequality true and which one makes the inequality false.
graph{y>=-9-2x [-10, 5, -15, 5]}
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To graph the inequality -9 ≤ 2x + y, follow these steps:
- First, rearrange the inequality to isolate y: y ≥ -2x - 9.
- Plot the y-intercept, which is -9 on the y-axis.
- Use the slope -2 (coefficient of x) to find another point on the line. The slope -2 means that for every increase of 1 in x, y decreases by 2.
- Draw a dashed or solid line through the two plotted points.
- Since the inequality symbol is ≥ (greater than or equal to), shade the region above the line to represent all points that satisfy the inequality.
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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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