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Tenth Grade (Grade 10) Inequalities Questions

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Grade 10 Inequalities
Solve the quadratic inequality. 2x2+13x+15≤0
  1. x≤-32
  2. x≥-5
  3. x≤-5 or x≥-32
  4. -5≤x≤-32
Grade 10 Inequalities
Both (-3, 1) and (1, -2) are solutions for the inequality y>-2x2+5.
  1. False
  2. True
  3. Sometimes
  4. Not Enough Information
Grade 10 Inequalities
Describe the solutions of the following system of linear inequalities.

y>3x+4
y<3x+3
  1. There is no solution.
  2. The solutions are between the lines.
  3. The solutions are above the lines.
  4. The solutions are below the lines.
Grade 10 Inequalities
The point (1, 8) is a solution for the inequality y≥(18)x+1.
  1. Sometimes
  2. No
  3. Not Enough Information
  4. Yes
Grade 10 Inequalities CCSS: HSA-REI.B.3
Determine the solution of 2x-3>11.
  1. x>10
  2. x>7
  3. x>5
  4. x<7
Grade 10 Inequalities CCSS: HSA-REI.B.3
The set of values of x for which 3x+2>x-2 is which of the following?
  1. {x:x>2}
  2. {x:x<-2}
  3. {x:x>0}
  4. {x:x>-2}
Grade 10 Inequalities CCSS: HSA-REI.B.3
Solve the inequality.

6y-8>4y+26
  1. {y∣y<17}
  2. {y∣y>-9}
  3. {y∣y>9}
  4. {y∣y>17}
Grade 10 Inequalities
Solve the inequality.

|3x-2|-2<1
  1. {x∣x>-13orx<53}
  2. {x∣-13>x<53}
  3. {x∣-13<x<53}
  4. {x∣x<53}
Grade 10 Inequalities
Which point would be a solution to the system of inequalities?

5y<2x+10
y-4x>8
  1. (2,3)
  2. (-4,1)
  3. (-4,-2)
  4. (4,-4)
Grade 10 Inequalities CCSS: HSA-REI.B.3
Solve the inequality.

-3(4w-1)>18
  1. {w∣w<-54}
  2. {w∣w<54}
  3. {w∣w>-54}
  4. {w∣w<-45}
Grade 10 Inequalities CCSS: HSA-REI.B.3
Solve the compound inequality.

m+3≥5andm+3<7
  1. {m∣2≥m<4}
  2. {m∣2≤m<4}
  3. {m∣2<m≤4}
  4. {m∣m>4≥2}
Grade 10 Inequalities
Both (-2, 3) and (3, 2) are solutions for the inequality y>x2-15.
  1. True
  2. False
  3. Sometimes
  4. Not Enough Information
Grade 10 Inequalities
Select the solution of |3x+1|<5.
  1. x>2orx<43
  2. -2<x<43
  3. x>43orx<2
  4. -43orx<2
  5. -43<x<2
Grade 10 Inequalities
The range of values for which x2-7x+10<0 is which of the following?
  1. 2>x>5
  2. 2<x<5
  3. x<2 and x>5
  4. x<-5 and x>-5
Grade 10 Inequalities
What is the solution of |2x-1|≥9?
  1. x≥5orx≤-4
  2. -5≤x≤4
  3. x≥4orx≤-5
  4. -4≤x≤5
Grade 10 Inequalities
Solve. x2-4x-5≤0
  1. -1≤x≤5
  2. x≤-1 or x≥5
  3. x≤5
  4. x≥-1
Grade 10 Inequalities
Solve. 2x2+x-28≤0
  1. x≤-4 or x≥72
  2. x≤-2 or x≤7
  3. -4≤x≤72
  4. No real solution.
Grade 10 Inequalities
Which of the following statements is TRUE about the given?

Given: y ≥ -3x + 12
  1. It is written in standard form.
  2. There is only one solution.
  3. The graph depicts the area above a decreasing line.
  4. This is an equation with a closed dot.
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