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# Common Core Standard HSA-REI.D.12 Questions

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

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Grade 11 Inequalities
Do the solutions of inequalities $y<-x^2-x$ and $(y+5)^2+x^2<2$ overlap?
1. Yes, they overlap.
2. No, they do not overlap.
3. No, but they touch.
Grade 11 Inequalities
Do the solutions of the inequalities $y<-3x^2-.1x$ and $y>x^2+2-2$ overlap?
1. Yes, they overlap.
2. No, they do not overlap.
3. No, but they touch.
Grade 11 Inequalities
Do the solutions of the inequalities $y> x^2+4x+4$ and $y < x-4$ overlap?
1. Yes, they overlap.
2. No, they do not overlap.
3. No, but they touch.
Grade 11 Inequalities
Do the solutions of the inequalities $y<-x^2+2x+6$ and $y>x^2+2-3$ overlap?
1. Yes, they overlap.
2. No, they do not overlap.
3. No, but they touch.
Grade 11 Inequalities
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