I saw a solution to a DS problem , which is confusing me.
Question:If x is not equal to 0, is |x| less than 1?
(1) x/|x| < x
(2) |x| > x
Actua lAnswer : Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
MY answer : 1 alone sufficient , 2 is not.
I thought , the option 1 alone was sufficient to solve the problem.
Reason : x/|x| < x
=>x < x |x| (multiplying both sides by |x|)
=> |x| > 1 (dividing both sides by x since x!=0)
hence proved.
but the solution says otherwise.
I understand the line of reasoning given in its solution ( i will share that later)
but what i do not understand is ,
"WAT is WRONG in my approach"
Can someone please....enlighten me ?
Question:If x is not equal to 0, is |x| less than 1?
(1) x/|x| < x
(2) |x| > x
Actua lAnswer : Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
MY answer : 1 alone sufficient , 2 is not.
I thought , the option 1 alone was sufficient to solve the problem.
Reason : x/|x| < x
=>x < x |x| (multiplying both sides by |x|)
=> |x| > 1 (dividing both sides by x since x!=0)
hence proved.
but the solution says otherwise.
I understand the line of reasoning given in its solution ( i will share that later)
but what i do not understand is ,
"WAT is WRONG in my approach"
Can someone please....enlighten me ?
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