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Tenth Grade (Grade 10) Inequalities Questions

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Grade 10 Inequalities CCSS: HSA-REI.B.3
Select the solution.
[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
Write in interval notation.
[math]-5ltxleq4[/math]
  1. [math][-5,4][/math]
  2. [math](-5,4)[/math]
  3. [math][-5,4)[/math]
  4. [math](-5,4][/math]
Grade 10 Inequalities CCSS: HSA-REI.B.3
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 CCSS: HSA-REI.B.3
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 CCSS: HSA-REI.B.3
Solve the 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 CCSS: HSA-REI.B.3
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 CCSS: HSA-REI.B.3
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
Which describes the graph of the inequality, [math]y < 2x[/math]?
  1. solid line, shaded above
  2. solid line, shaded below
  3. dashed line, shaded above
  4. dashed line, shaded below
Grade 10 Inequalities
If [math]x^2 < x[/math], which of the following must be true?
  1. [math]0 < x < 1[/math]
  2. [math]-1 < x < 0[/math]
  3. [math]x < -1[/math]
  4. [math]x > 1[/math]
Grade 10 Inequalities
If [math]x^2 < x[/math], which of the following must be true?
  1. [math]x < -1[/math]
  2. [math]-1 < x < 0[/math]
  3. [math]0 < x < 1[/math]
  4. [math]x > 1[/math]
Grade 10 Inequalities
Solve the quadratic inequality. [math]x^2+7x+12>=0[/math]
  1. [math]-4 <= x <= -3[/math]
  2. [math]x <= -4 " or " x >= -3[/math]
  3. [math]x<= -3[/math]
  4. [math]x>=-4[/math]
Grade 10 Inequalities CCSS: HSA-REI.B.3
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.B.3
Determine the solution of the linear inequality.

[math]- 11 <-2x + 5 < 7[/math]
  1. 5.5 < x < 1
  2. 8 > x > - 1
  3. 8 < x < 1
  4. -10.5 > x > 1.5
Grade 10 Inequalities
Solve the quadratic inequality. [math]6x^2 + 7x - 5 > 0[/math]
  1. [math] 5/3 < x < 1/2[/math]
  2. [math]5/2 < x < 3/2[/math]
  3. [math] x < 5/2 " or " x > 3/2[/math]
  4. [math]x < -5/3 " or " x >1/2[/math]
Grade 10 Inequalities
Solve the quadratic inequality. [math]3x^2 + x + 2 <= 0[/math]
  1. [math]2 <= x <= 3[/math]
  2. [math]x <= 2 " or " x >= 3[/math]
  3. [math]-2 <= x <=3[/math]
  4. No real solutions.
Grade 10 Inequalities
Solve the inequality [math] | x - 2 | - 3 ≥ -2 .[/math]
  1. [math]x>=1 or x<=3[/math]
  2. [math]x<=1 or x>=3[/math]
  3. [math]x<=1 or x>=1[/math]
  4. None of the above
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