How do you graph the linear inequality #y>=-x-3#?
Refer to the explanation.
Graph:
Determine a few points on the line. (Only two are necessary.)
Plot the points and draw a solid, straight line through them to represent the equality. Then shade in the area above the line to represent the inequality.
graph{y>=-x-3 [-15.22, 16.81, -10.12, 5.9]}
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To graph the linear inequality ( y \geq -x - 3 ), follow these steps:
- Begin by graphing the boundary line ( y = -x - 3 ) as a dashed line, since the inequality is not strict (( \geq )).
- Choose a test point not on the boundary line. The origin (0,0) is a common choice.
- Substitute the coordinates of the test point into the original inequality.
- If the inequality holds true, shade the region containing the test point. If not, shade the opposite region.
- Since the inequality is ( \geq ), include the boundary line in the shaded region.
The graph should show a shaded region above and including the line ( y = -x - 3 ).
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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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