Name: ___________________


kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

High School Mathematics - 2
7.11 Graphical Representation of Solutions of Inequalities

Example 1: Solve 7x+3 < 5x+9
Solution: We have 7x+3 < 5x+9
2x < 6 or x < 3

Example 2: The marks obtained by a student in his exams are 62 and 48. What marks should he get in his next test to get an average of 60?
Solution: (62+8+x)/3 > = 60
x > = 70
Answer: The student must obtain a minimum of 70 marks to get an average of 60.

Q 1: Find all pairs of consecutive odd natural numbers, both of which are larger than 10, such that their sum is less than 40.
Odd number must be greater than 19
Odd number must lie between 10 and 19
Odd number must be lesser than 10

Q 2: A solution of 8% boric acid is to be diluted by adding a 2% boric acid to it. The resulting mixture is to be more than 4%but less than 6% boric acid . If we have 640 litres of the 8% solution, how many litres of the 2% solution will have to be added?
more than 320 litres but less than 1280 litres
less than 3 20 litres
more than 1280 litres

Q 3: The marks obtained by a student in two tests were 70 and 75, what should he score in his third test to get an average of 60?

Q 4: 37 - (3x+5) >= 9x-8(x-3)

Q 5: The longest side is of a triangle is 3 times the shortest side and third side is 2cm shorter than the longest side. If the perimeter of the triangle is atleast 61 cm, find the minimum length of the shortest side.
11 cm
9 cm
15 cm

Q 6: IQ of a person is given by the formula IQ = MA/CA * 100 where MA is mental age and CA is chronical age. If 80 <= IQ <= 140 for a group of 12 year children, find the range of their mental age.
Atleast 9.6 but not more than 16.8
More than 16.8
Less than 9.6

Q 7: (3x-4)/2 >= (x+1)/4 -1

Q 8: 5x-3 > = 3x-5

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!

Subscription to kwizNET Learning System costs less than $1 per month & offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements

© 2003-2007 kwizNET Learning System LLC. All rights reserved. This material may not be reproduced, displayed, modified or distributed without the express prior written permission of the copyright holder. For permission, contact
For unlimited printable worksheets & more, go to