How do you graph #y>x-3#?

Answer 1

See a solution process below:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For: #x = 0#
#y = 0 - 3#
#y = -3# or #(0, -3)#
For: #x = 3#
#y = 3 - 3#
#y = 0# or #(3, 0)#

We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

We will shade the ???? side of the line.

graph{(x^2+(y+3)^2-0.035)((x-3)^2+y^2-0.035)(y-x+3) = 0 [-10, 10, -5, 5]}

To tansform this into an inequality the boundary line will be dashed because the inequality operator does not contains an "or equal to" clause and therefore the line is not part of the solution set.

We will shade the left side of the line.

graph{(y-x+3) > 0 [-10, 10, -5, 5]}

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Answer 2

To graph the inequality y > x - 3, you would start by graphing the line y = x - 3 as a dashed line. Then, you would shade the region above the line to represent the values of y that are greater than x - 3.

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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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