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# Eleventh Grade (Grade 11) Inequalities Questions

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Solve the quadratic inequality algebraically. $x^2+4x+3<=0$
1. $-3 <= x <= -1$
2. $-1 <= x$
3. $-3 >= x >= -1$
4. No real solution.
If $2^x(x-3)<0$, then                             .
1. $x < 0 or x > 3$
2. $x < 0$
3. $x < 3$
4. $0 < x < 3$
Sole the inequality by graphing or algebraically. Select the correct answer. $x^2+7x>=-10$
1. ${x|x<=-5 or x>=-2}$
2. ${x|x<=5 or x>=2}$
3. ${x| -2<=x<=-5}$
4. ${x|2<=x<=5}$
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.
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.
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.
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 CCSS: HSA-REI.D.12
Grade 11 Inequalities CCSS: HSA-REI.D.12
Grade 11 Inequalities CCSS: HSA-REI.D.12
Grade 11 Inequalities CCSS: HSA-REI.B.3
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