↧↧↧ Detailed Video Solution to the Problem ↧↧↧
M and P are integers with unknown signs and we need to find which of the following helps us in determining the sign of M and P
I. |M| + |P| = |M+P|
This will be true only when both M and P have the same sign.
Ex: M = 2 , P = 3 => |2| + |3| = |2+3| => 5 = 5
Ex: M = -2 , P = -3 => |-2| + |-3| = |-2-3| => 5 = 5
Ex: M = 2 , P = -3 => |2| + |-3| ≠ |2-3| => 5 ≠ 1
=> NOT SUFFICIENT as we know that both M and P have the same sign, but both can be positive or both can be negative also.
II. |M-P| = |P-M|
This is true for all values of M and P
As, |X| = |-X| and |M-P| = |-(M-P)|
=> NOT SUFFICIENT as M and P can have any sign.
III. |M|-|P| = |M-P|
This will be true only when both M and P have the same sign and |M| > |P| or M = P.
Ex: M = 3 , P = 2 => |3| - |2| = |3-2| => 1 = 1
Ex: M = -3 , P = -2 => |-3| - |-2| = |-3-(-2)| => 1 = 1
Ex: M = 2 , P = -3 => |2| - |-3| ≠ |2-(-3)| => -1 ≠ 5
=> NOT SUFFICIENT as we know that both M and P have the same sign, but both can be positive, both can be negative or both can be zero.
So, Answer will be E
Hope it helps!
Watch the following video to learn the Basics of Absolute Values