June 08
Paper 3
Question 1
as an example
but I would really appreciate if I can find a link or something to explain the whole chapter 2 in Pure Mathematics 2&3
For this number, you should eliminate the modulus sign since the inequality sign will not agree for both positive and negative numbers. This can be done by squaring on both sides.
Let me get something clear for you.
The modulus sign is inserted to represent both the positive and negative values. Therefore it becomes complicated to solve this inequality if we use both the positive and negative values. Hence by squaring on both sides we are opting to work with the positive value only.
Example : (1)
2 = 1 but (-1)
2 is also equal to 1.
1. Squaring on both sides you'll obtain :
x
2 - 4x + 4 > 9(4x
2 +4x + 1)
Now you can solve the inequality as usual