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

Answer 1

Graph and solve the system of linear equations in 2 variables:
(1) y > x - 3
(2) y > x

When the linear functions are expressed in standard form, for example: #2x + 3y - 4 \ 0; or -3x - 4y + 5 > 0; or 2x/3 - 3y/3 - 1/2 >= 0#, you graph the 2 lines by x and y intercepts. Then, you use the test point method to determine the 2 areas of the 2 solution sets. The origin O is usually the best test point. First, graph the line y1 = x - 3. (Note the > sign). Shade or color this area. Next, graph the line y = x.

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Answer 2

Kennedy Adams

To graph the system of inequalities (y > x - 3) and (y > x), first graph the line (y = x - 3) as a dashed line (since it's not inclusive). Then, shade the region above this line to represent the inequality (y > x - 3). Next, graph the line (y = x) as another dashed line and shade the region above this line to represent the inequality (y > x). The region where the shaded areas overlap represents the solution to the system.

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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 system #y &gt; x - 3# and #y &gt; x#?

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