High School Algebra I Unlocked by Princeton Review

Author:Princeton Review
Language: eng
Format: epub
Publisher: Random House Children's Books
Published: 2016-08-08T16:00:00+00:00

In this scenario, the solution region is an unbounded system, outlined as follows.

Finally, you need to find the corner points in this system. Unfortunately, due to the scale of our graph, you can’t find the corner points just by looking at the graph. Instead, you need to find the intersection points of the first two inequalities, y ≤ −4x − 4 and y ≥ −x + 3. When you convert these inequalities into equations and set them equal to one another, you will find that −x + 3 = −4x − 4, 3x = −7, and x = −7/3. Now, substitute x = −7/3 into the second equation to find y: y = −x + 3, y = −(−7/3) + 3, y = 7/3 + 9/3, and y = 16/3. Thus, the corner point is (−7/3, 16/3).

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