Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
7. Systems of Linear Inequalities
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Exercise 42 Page 262

In Quadrant I, both the x- and y-values are positive.

Example Solution: y>1 x>2

Practice makes perfect
In Quadrant I, both the x- and y-values are positive. There are infinitely many systems of inequalities we could write such that their solutions lie in Quadrant I. Here we will show only one of them. Consider the following system. y>1 & (I) x>2 & (II) Graphing the system, we can see that, although the solutions to the individual inequalities lie outside Quadrant I, the solution set to the system is only in Quadrant I.
inequalities graph

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

overlap area