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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

7. Systems of Linear Inequalities

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Exercise 43 Page 262

The solutions can lie in Quadrants II or IV.

Example System: x<0 y>0

Practice makes perfect

Note that in Quadrant II and in Quadrant IV, the x- and y-values have opposite signs. Therefore, to satisfy the required condition, the solutions to the system of inequalities must lie in either Quadrant II or IV. Consider the following system. x<0 & (I) y>0 & (II) Let's graph the system!

system graph

This is easier to see if we cut away the shading where the inequalities do not overlap.

overlap region

Subchapter links

Communicate Your Answer p.255

Monitoring Progress p.256-259

Exercises p.260-262