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Question
If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.
Options
True
False
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Solution
This statement is False.
Explanation:
If x and y are in inverse proportion, then xy = k ...(Constant)
E.g. Let x = 2 and y = 3
∴ xy = 2 × 3 = 6.
Now, x + 1 = 2 + 1 = 3 and y + 1 = 3 + 1 = 4
Then, (x + 1)(y + 1) = 3 × 4 = 12 ...[Not in inverse proportion]
Hence, (x + 1) and (y + 1) cannot be in inverse proportion.
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