Hello,

Can you please tell me if my algebraic approach is correct:

Is x > 4?

1.|x| > 5
2. x > -5


1) |x| > 5
=> x = 6 or x = -6 In-suff.

2) x > -5
=> x = 6 or x = -4 In-suff.


1 and 2: => x has to be 6, 7, 8, ...

Hence, suff.


I was wondering if this can be solved as follows when we combine 1 and 2:

|x| > 5 and x > -5

=> + or - x > 5 and x > -5

=> x > 5 or -x > 5 and x > -5

=> x > 5 or x < -5 and x > -5

=> x > 5

Is this also correct?


Thanks a lot,
Sri