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Tenth Grade (Grade 10) Inequalities Questions

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Grade 10 Inequalities
Determine the solution of the inequality. [math]x - 1 < - 4 or x + 2 >= 4[/math]
  1. [math]x < - 3 or x >= 2[/math]
  2. [math]x < - 5 or x >= 6[/math]
  3. [math]x = 1 or x = 2[/math]
  4. [math]x = 3 or x = - 2[/math]
Grade 10 Inequalities
Select the solution of the following: [math]-5 <= -2x + 3 <= 7[/math]
  1. [math]x >= 4 or x <= -2[/math]
  2. [math]-2 <= x <= 4[/math]
  3. [math]-4 <= x <= -2[/math]
  4. [math]-4 <= x <= 2[/math]
Grade 10 Inequalities
Solve the inequality for x:

[math]x + 6 < -4 or 3x >=14[/math]
  1. [math]x<10 or x>=14/3[/math]
  2. [math]<-10 or x>=14/3[/math]
  3. [math]x<=-10 or x>=14/3[/math]
  4. [math]x<-10 or x>=14/3[/math]
Grade 10 Inequalities
Solve the inequality for x:

[math]8 <3x - 7 <=23[/math]
  1. [math]5 < x <= 10[/math]
  2. [math]5<=x<=10[/math]
  3. [math]5 < x < 10[/math]
  4. [math]5<=xlt10[/math]
Grade 10 Inequalities
Solve the inequality for x:
[math]-9 <= 4x - 3 < 13[/math]
  1. [math]-1.5 < x < 4[/math]
  2. [math]-1.5 <=x < 4[/math]
  3. [math]-1.5<=x<=4[/math]
  4. [math]-1.5 < x <= 4[/math]
Grade 10 Inequalities
Solve the inequality for x:
[math]x - 7 >=-3 or -2x + 1 >=11[/math]
  1. [math]x>=4 or x<=-5[/math]
  2. [math]x>=-5 or x>=4[/math]
  3. [math]x>=4 or xlt-5[/math]
  4. [math]x>4 or x> -5[/math]
Grade 10 Inequalities CCSS: HSA-REI.D.10
Grade 10 Inequalities CCSS: HSA-REI.D.10
Grade 10 Inequalities CCSS: HSA-REI.D.10
Grade 10 Inequalities
What is the solution of [math]|2x - 1| >= 9 [/math]?
  1. [math]x >= 5 or x <= - 4[/math]
  2. [math]- 5 <= x <= 4[/math]
  3. [math]x >= 4 or x <= - 5[/math]
  4. [math]- 4 <= x <= 5[/math]
Grade 10 Inequalities
Select the solutions of [math]|2x - 3| - 8 = -5[/math].
  1. x = 0, x = - 2
  2. x = 0, x = 2
  3. x = - 2, x = 2
  4. x = 0, x = 3
Grade 10 Inequalities
The range of values for which [math]x^2 -7x+10<0[/math] is
  1. [math]2>x>5[/math]
  2. [math]2 < x < 5[/math]
  3. [math]x<2[/math] and [math]x>5[/math]
  4. [math]x<-5[/math] and [math]x> -5[/math]
Grade 10 Inequalities
Solve the following inequality: [math]2(3x - 5) > 20[/math]
  1. [math]x >= 5[/math]
  2. [math]x <= 5[/math]
  3. [math]x > 5[/math]
  4. [math]x < 5[/math]
Grade 10 Inequalities
The set of values of [math]x[/math] for which [math]3x+2>x-2[/math] is
  1. [math]{x:x>2}[/math]
  2. [math]{x:x< -2}[/math]
  3. [math]{x:x>0}[/math]
  4. [math]{x:x> -2}[/math]
Grade 10 Inequalities
Solve the inequality.

[math]6y-8>4y+26[/math]
  1. [math]{y|y<17}[/math]
  2. [math]{y|y> -9}[/math]
  3. [math]{y|y>9}[/math]
  4. [math]{y|y>17}[/math]
Grade 10 Inequalities
Which point would be a solution to the system of inequalities?

[math]5y<2x+10[/math]
[math]y-4x>8[/math]
  1. [math](2,3)[/math]
  2. [math](-4,1)[/math]
  3. [math](-4,-2)[/math]
  4. [math](4,-4)[/math]
Grade 10 Inequalities
Solve the inequality.

[math]abs(3x-2)-2<1[/math]
  1. [math]{x|x> -1/3 or x<5/3}[/math]
  2. [math]{x| -1/3 >x <5/3}[/math]
  3. [math]{x| -1/3 < x < 5/3}[/math]
  4. [math]{x|x<5/3}[/math]
Grade 10 Inequalities
Describe the solutions of the following system of linear inequalities:

[math]y> 3x+4[/math]
[math]y< 3x+3[/math]
  1. There is no solution
  2. The solutions are between the 2 lines
  3. The solutions are above the lines
  4. The solutions are below the lines
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