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Inequalities Part 1-Basic Mathematics-Assignment, Exercises of Mathematics

Prof. Karunashankar Sidhu gave this assignment at Institute of Mathematical Sciences for Basic Mathematics course. It includes: Inequalities, Domains, Composite, Functions, Lesser, Equal, Greater, Modulus

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Assignment No. 1
MTH 101 (Spring 2012)
Maximum Marks: 20
Due Date: 18th April. 2012
DON’T MISS THESE Important instructions:
To solve this assignment, you should have good command over first
08 lectures.
Upload assignments properly through LMS, (No Assignment will be
accepted through email).
Write your ID on the top of your solution file.
All students are directed to use the font and style of text as is used in
this document.
Don’t use colorful back grounds in your solution files.
Use Math Type or Equation Editor etc. for mathematical symbols.
This is not a group assignment, it is an individual assignment, so be
careful and avoid copying others’ work. If any assignment is found to
be copy of some other, both will be awarded ZERO MARKS. It also
suggests you to keep your assignment safe from others. No excuse
will be accepted by anyone if assignment is found to be copied or
letting others to copy.
Question # 01: 10
Solve the following inequalities.
32
( ) 4, ( ) 1
2 1 3
ab
xx


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Assignment No. 1

MTH 101 (Spring 2012)

Maximum Marks: 20

Due Date: 18

th

April. 2012

DON’T MISS THESE Important instructions:

 To solve this assignment, you should have good command over first

08 lectures.

 Upload assignments properly through LMS, (No Assignment will be

accepted through email).

 Write your ID on the top of your solution file.

 All students are directed to use the font and style of text as is used in

this document.

 Don’t use colorful back grounds in your solution files.

 Use Math Type or Equation Editor etc. for mathematical symbols.

 This is not a group assignment, it is an individual assignment, so be

careful and avoid copying others’ work. If any assignment is found to

be copy of some other, both will be awarded ZERO MARKS. It also

suggests you to keep your assignment safe from others. No excuse

will be accepted by anyone if assignment is found to be copied or

letting others to copy.

Question # 01: 10

Solve the following inequalities. 3 2 ( ) 4, ( ) 1 2 1 3

a b x x

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Question # 02: 10

Given that 2

x f x g x x x

. Find f g x ( ) and g f x ( ).

Also, find the domains of composite functions.

(Note: In order to get full marks, do all necessary steps)

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