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

Answer 1

See the explanation below.

#y>x-3#

Determine two points by substituting values for #x# and solving for #y#. Then plot the points and draw a dashed straight line through the points to indicate that they are not part of the inequality. Shade in the area above the line.

#x=0,# #y=-3# #x=3,# #y=0#

graph{y>x-3 [-10, 10, -5, 5]}

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Answer 2

Ethan Adkins

To graph the inequality (y > x - 3):

Plot the boundary line (y = x - 3) as a dashed line since the inequality is strictly greater than.
Choose a test point not on the boundary line, like the origin (0,0).
Substitute the coordinates of the test point into the original inequality. If it satisfies the inequality, shade the region that contains the test point. If not, shade the opposite region.
The shaded area represents the solution to the inequality.

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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.

How do you graph the inequality #y &gt; x - 3#?

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