How do you graph #y<2x+1#?
graph{y < 2 x + 1 [-10.0, 10.0, -5.00, 5.00]}
graph{y < 2 x + 1 [-10.0, 10.0, -5.00, 5.00]}
The solution is the blue shading under the dotted line.
The line separating the blue area is dotted because the inequality is a "less than" inequality.
If it had be a "less than or equal to" inequality you would use a solid line.
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To graph the inequality ( y < 2x + 1 ), you start by graphing the line ( y = 2x + 1 ) using a dashed line because the inequality does not include the equal sign. Then, you shade the region below the line to represent the values of ( y ) that are less than ( 2x + 1 ).
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To graph the inequality ( y < 2x + 1 ), you would first graph the line ( y = 2x + 1 ) as a dotted line (since the inequality is strict). Then, shade the region below the line to represent the solution set of 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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