Question
Download Solution PDFWhich statement among the following is correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 1.
Calculation:
⇒ If x < 0, then x2 > x
Let's put x = -2, then (-2)2 > (-2) ; 4 > (-2)
So, the above condition is true.
⇒ If x2 > 0, then x > 0
Let's put x = -1, (-1)2 > 0 but (-1) < 0
So, the above condition is not true.
⇒ If x2 > x, then x < 0
For the negative value of x, the given condition is true.
But for the positive value, the given condition is not true.
So, the above condition is not always true.
⇒ If x2 > x, then x > 0
For the negative value of x, the given condition is not true.
But for the positive value, the given condition is true.
So, the above condition is not always true.
Hence, If x < 0, then x2 > x is always true.
Last updated on Jun 11, 2025
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