Is |a| + |b| > |a + b| ?
(1) a^2 > b^2
(2) |a| × b < 0
How would you go about solving this one ?
Thanks
II
(1) a^2 > b^2
(2) |a| × b < 0
How would you go about solving this one ?
Thanks
II
Based on the information provided,
|a| + |b| can be greater than |a+b| if either of a or b is a negative value. If both are either positive or negative, the two sides of the equation will be same and hence may still provide the answer to this DS question, if we cna ascertain the signs of a and b
Now,
1) a^2 > b^2 can be true for many scenarios, such as,
i) a and b are both positive and a > b
ii) Either a or b is negative and absolute value of a is greater than that of b
iii) Both a and b are negative and absolute value of a is greater than that of b
So the information provided is insufficient to answer the question
2) |a| * b < 0. One thing is tells is that b is -ve. The condition can be true for the following scnearios,
i) if a is -ve
ii) if a is +ve
But as mentioned above the question can be answered only if we know for sure that either one of the values is -ve (and o ther positive) or both are +ve or -ve.
In both statements, we get multiple possible values and hence cannot answer the question, so "E"
