Self Studies

Inequalities Te...

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  • Question 1
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    By solving the inequality 3(a - 6) <4 + a, the answer will be

  • Question 2
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    What is the solution set for  

  • Question 3
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    Identify the solution set for  

  • Question 4
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    What is the solution set for  

  • Question 5
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    Identify the solution set for  

  • Question 6
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    What is the solution set for  

  • Question 7
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    Identify solution set for  | 4  − x | + 1  < 3?

  • Question 8
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    What is the solution set for

  • Question 9
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    Identify the solution set for   

  • Question 10
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    What is the solution set for  

  • Question 11
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    In the first four papers each of 100 marks, Rishi got 95, 72, 73, 83 marks. If he wants an average of greater than or equal to 75 marks and less than 80 marks, find the range of marks he should score in the fifth paper .

  • Question 12
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    A man wants to cut three lengths from a single piece of board of length 91cm. The second length is to be 3 cm longer than the shortest and third length is to be twice as long as the shortest. What are the possible lengths for the shortest board if the third piece is to be at least 5 cm longer than the second?

  • Question 13
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    Find all pairs of consecutive odd natural numbers, both of which are larger than 10, such that their sum is less than 40.

  • Question 14
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    The marks scored by Rohit in two tests were 65 and 70. Find the minimum marks he should score in the third test to have an average of atleast 65 marks.

  • Question 15
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    A solution is to be kept between  30 C and  35 C What is the range of temperature in degree Fahrenheit?

  • Question 16
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    The longest side of a triangle is three times the shortest side and the third side is 2cm shorter than the longest side if the perimeter of the triangles at least 61cm, find the minimum length of the shortest side.

  • Question 17
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    Which of the following is correct?

  • Question 18
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    Solve the inequality  3  − 2x  ≤ 9

  • Question 19
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    Given that x is an integer, find the values of x which satisfy both  2x  + 3  > 7 and  x  + 4  < 10

  • Question 20
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    The solution of 4x - 2 >6 is

  • Question 21
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    x = 4, 5 and 6 are the solutions for:

  • Question 22
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    What are the integer values of x which satisfy the inequalities  x  > − 2 and x  ≤ 2?

  • Question 23
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    Given that x is an integer, find the values of x which satisfy the simultaneous linear inequalities  2  + x  < 6 and 2  −3x  < − 1.

  • Question 24
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    Solve: 30x  < 200, when x is a natural number:

  • Question 25
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    The solution set for: 3x  − 7  >x  + 3.

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