How do you graph the inequality #y<2#?

Answer 1
The inequalities are great talkers I think. It says "Every value smaller than #2# in #y#-axis".
It doesn't tell anything about #x#-axis, so it is indifferent to #x#. Every #x# value will be accepted.
Finally, since it doesn't include #y=2# the border of the form should be dashed. Dashed lines tell the reader that the value is not included.
So draw a parallel line to #x#-axis from #y=2# point #(0,2)#. (The line should be dashed). And shade the area of the coordinate plane which #y# values are smaller than #2#.

Result:

graph{y<2 [-10, 10, -5, 5]}

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Answer 2

To graph the inequality ( y < 2 ), you would draw a dashed horizontal line at ( y = 2 ) to represent the boundary of the inequality. Since the inequality is ( y < 2 ) and not ( y \leq 2 ), the line should be dashed to indicate that points on the line are not included in the solution set.

Then, you shade the region below the dashed line to represent all the points where ( y ) is less than 2. This shading indicates the solution set of the inequality.

So, when graphed on a coordinate plane, the region below the dashed horizontal line at ( y = 2 ) represents the solution set of the inequality ( y < 2 ).

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Answer from HIX Tutor

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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