How it could be option D though the Quantity A boils down to |x^5+5| which will be always positive. So hence the answer should be Quantity A is greater because for all the value of x either is negative or positve the Quantity A will remain always positive
Correct.
Not quite. Is |x^5+5| always greater than x^5+5?
so you mean x^5 can be -5 also for both side which can be 0 also than it will be C and the answer will be D in that case. Suppose if the power raised would have been even like |x^4+5| and x^4+5 than the Quantity A should be always greater .
If you can correct my understanding
Consider - DOMAIN & RANGE
So, The break up of Quantity A is correct which shoukd be |(X^5) + 5|. Now think all of all of the values that you can insert into Quantity A & Quantity B that is the DOMAIN.
After this step you should consider for all the DOMAIN what results do you get which is the RANGE of the given eq. .
Take eg.
- inserting -ve number would clearly show that QA is bigger and QB is Smaller
- for all +ve values atleast the quanties would be same
- Hence option D.
I think you’re thinking about absolute value the wrong way.
What exactly does |x^5+5| mean to you in English?