Question
Find the value of x such that −11x is not a rational number.
Answer: Option D
:
D
A number which can be written in the form pq , where p and q are integers and q ≠ 0 is called a rational number.
By the above definition, pq can be a rational number only when q≠ 0.
So, for the given fraction to be not a rational number, x should be zero.
For all the other givenvalues of x, we will obtain a rational number.
For example, when x = 1,
−11x=−111=−11
when x = 2,
−11x=−112=−5.5
when x = -1,
−11x=−11−1=11
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:
D
A number which can be written in the form pq , where p and q are integers and q ≠ 0 is called a rational number.
By the above definition, pq can be a rational number only when q≠ 0.
So, for the given fraction to be not a rational number, x should be zero.
For all the other givenvalues of x, we will obtain a rational number.
For example, when x = 1,
−11x=−111=−11
when x = 2,
−11x=−112=−5.5
when x = -1,
−11x=−11−1=11
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