quantumliner wrote:
Given: |x| < 20 and |x – 8| > |x + 4|,
|x| < 20, so this gives -20 < x < 20
------> A|x – 8| > |x + 4|Here we have 3 possibilities:
(i) x < -4
-x+8 > - x + 4, as x's cancel out, we don't get a range here.
(ii) -4 < x < 8
-x+8 > x+4
x< 2
-------------> B(iii) x > 8
x-8 > x+4, , as x's cancel out, we don't get a range here.
Therefore, by combining the ranges A & B, we get -20 < x < 2. Answer: B
mikemcgarry, could you please confirm if the solution is correct?
Dear
quantumliner,
I'm happy to respond.
Your approach is 100% correct BUT long & detailed & time-consuming. It is an extremely reductionist and left-brain approach, algebraic & formulaic rather than pattern-based. See the original post, linked with the problem, for a more pattern-based approach to these problems.
It may not have taken very long on this relatively straightforward problem, but having only this approach will create problems for you on some advanced problems. See this post:
How to do GMAT Math FasterMy friend, you obviously have great algebraic skill. If you can combine these organization & detail management skills with intuition and pattern-matching, you will take your math performance to a whole other level.
Does all this make sense?
Mike
Could you please show us a shorter/ faster approach please, thanks. I did refer
.