O level Inequalities Quiz 1

15 Questions

Quiz Description

 In this O level inequality quiz made up of 15 questions, we will talk about what inequalities are all about. 15 questions which have been set based on the gce a level syllabus for mathematics, each question has four options and just one and only one of these options is correct.

What is an inequality?

An inequality is simply a mathematical relationship linking two expressions and it is represented using one of the following mathematical symbols:

  • < for "less than"
  • > for "greater than"
  • ≤ for "less than or equal to"
  • ≥ for "greater than or equal to"
  • ≠ for "not equal to"

When solving quadratic or linear inequalities, it is important to note that whenever you divide or multiply both sides by a negative number, the inequality sign is reversed. If it were “<” then after being multiplied or divided by a negative the sign will be “>”.

Ordinary level gce past questions are all available for you to check them out and see how the exam looks like. 

Good Luck

1:

-5 > a and a > b then -5 is


Correct
  • 1:
    less than a
  • 2:
    greater than b
  • 3:
    grater than a
  • 4:
    less than b
2:

By solving the inequality 6x - 7 > 5, the answer will be


Correct
  • 1:
    x > 6
  • 2:
    x < 5
  • 3:
    x < 7
  • 4:
    x > 2
3:

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


Correct
  • 1:
    a < 9
  • 2:
    a < 12
  • 3:
    a < 13
  • 4:
    a < 11
4:

By solving the inequality 1⁄3(x - 3) > 1⁄2(x + 2), the answer will be


Correct
  • 1:
    x < -10
  • 2:
    x < -12
  • 3:
    x < -14
  • 4:
    x < -15
5:

Mary scored 200 marks in three tests. If average score of 60 is required then the lowest marks she must score for fourth test are


Correct
  • 1:
    x gt; 40
  • 2:
    x gt; 50
  • 3:
    x gt; 60
  • 4:
    x gt; 70
6:

By solving the inequality 2(x + 2) < 3(x + 1) + 8, the answer will be


Correct
  • 1:
    x < -9
  • 2:
    x > -7
  • 3:
    x > -13
  • 4:
    x < -6
7:

An engineering test consist of 100 questions. 2 points are awarded for correct answer and 1 point is deducted for wrongly answered questions. Ana attempted 85 questions and her total score was above 160. The minimum number of correct answers are


Correct
  • 1:
    x gt; 85
  • 2:
    x gt; 86
  • 3:
    x gt; 88
  • 4:
    x gt; 82
8:

By solving the inequality 5a - 4 > 6, the value of 'a' is


Correct
  • 1:
    greater than 2
  • 2:
    less than 2
  • 3:
    greater than 5
  • 4:
    less than 6
9:

In 2014, 200 workers received pays on hourly basis from $15/hour to $25/hour according to the difficulty of assigned tasks. The least possible amount paid to the workers for 10 working hours is


Correct
  • 1:
    $180
  • 2:
    $150
  • 3:
    $140
  • 4:
    $115
10:

If x is greater than y then sign written between 10x and 10y is of


Correct
  • 1:
    less than
  • 2:
    greater than
  • 3:
    equal to
  • 4:
    greater than and equal to
11:

Solve the inequality.
x^2-7x+10>0


Correct
  • 1:
    (0,-2)U(3,∞)
  • 2:
    (-∞,2]U[-2,3]
  • 3:
    (-∞,2)U(3,∞)
  • 4:
    [2,5]U[3,∞)
12:

(2,2) is a solution to the inequality 2x-6y>x^2+4x-8


Correct
  • 1:
    True
  • 2:
    False
  • 3:
    True and False
  • 4:
    None
13:

Which is a solution to the following system?
y < 6x^2 + 2x - 1
y ≥ -2x^2 - x + 3


Correct
  • 1:
    (0, 0)
  • 2:
    (0, -3)
  • 3:
    (1, 5)
  • 4:
    (1, -8)
14:

What is the solution set to the inequality 0<x^2-4x-5


Correct
  • 1:
    x
  • 2:
    x
  • 3:
    -1
  • 4:
    -5
15:

 Which inequality is shown?


<p>&nbsp;<strong>Which inequality is shown?</strong></p>
Correct
  • 1:
    y< -x^2
  • 2:
    y≤ -x^2
  • 3:
    y> -x^2
  • 4:
    y≥ -x^2

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O level Inequalities Quiz 1