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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. $0 < x < 3$
Do the 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
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 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
$3x - 8 >=1$
1. $x>=-2 1/3$
2. $x>=3$
3. $x<=3$
4. $x>=2 1/3$
5. none of the above
Do the inequalities $y> -3x^2+14x+2$ and $(y+4)^2+(x+5)^2<2$ overlap?
1. Yes, they overlap
2. No, they do not overlap
3. No, but they touch
Do 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 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
Which statement is true?
1. Inequalities and equations mean the same thing.
2. Inequalities are solved in almost the same way equations are solved.
3. Equations with one variable have many solutions.
4. Inequalities with one variable must be graphed on a Cartesian Plane (Coordinate Graph).
Solve for x: $4x-5<9x$
1. $x<1$
2. $x>1$
3. $x<-1$
4. $x> -1$
Solve the inequality | x – 2 | - 3 ≥ -2
1. $x>=1 or x<=3$
2. $x<=1 or x>=3$
3. $x<=1 or x>=1$
4. None of the above
Write as an inequality: The product of nine and x is greater than six more than the product of three and x.
1. $9x<3x +6$
2. $12x>6$
3. $9x>3x+6$
4. $3x+6>9x$
$3v <=5v+18$
1. $v<=-2$
2. $v>=-2$
3. $v>=-9$
4. $v<=-9$
5. none of the above
Solve for x: $4x-5<9x$
1. $x<1$
2. $x>1$
3. $x< -1$
4. $x> -1$
$2(y-3)+7lt21$
1. $y<10$
2. $y>10$
3. $y>11$
4. y$<$11
5. none of the above
Grade 11 Inequalities CCSS: HSA-CED.A.3
Grade 11 Inequalities CCSS: HSA-CED.A.1
Solve $(1-x)/3 <4$
1. x < -11
2. x >- 11
3. x < 11
4. x >11
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