Question
Download Solution PDFQuestion given below is followed by two statements
Is ‘a’ positive?
I) a + b is positive
II) a – b is positive.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFrom I
We know that a + b is positive ⇏ a is positive as b can be a large positive value when a is negative
For example,
Let the number of b be 2,
Then the number of a be -3
so, according to the statement
a + b = 2 + (-3) = -1 is negative
From II
We know that a - b is positive ⇏ a is positive as b can be a large negative value when a is negative
For example,
Let the number of b be 2,
Then the number of a be -3
so, according to the statement
a - b = 2 - (-3) = 5 is positive
Now, adding both i.e. I + II
(a + b) + (a - b) = positive
a is positive
Both the statements prove a is positive.
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