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Question
Let a and b be numbers such that 30<a<40 and 50<b<70. Mark the possible range of values of a−b.
Let a and b be numbers such that 30<a<40 and 50<b<70. Mark the possible range of values of a−b.
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Solution
The correct option is B −40<a−b<−10
To make a−b as large as possible, we need to make a as large as possible and b as small as possible.
So, a−b has to be less than 40−50=−10
To make a−b as small as possible, we need to make b as large as possible and a as small as possible.
So, a−b has to be greater than 30−70=−40
Hence, the possible range of values of a−b is −40<a−b<−10.
To make a−b as large as possible, we need to make a as large as possible and b as small as possible.
So, a−b has to be less than 40−50=−10
To make a−b as small as possible, we need to make b as large as possible and a as small as possible.
So, a−b has to be greater than 30−70=−40
Hence, the possible range of values of a−b is −40<a−b<−10.
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