CAT 2021 Exam Question Papers Slot 1 | CAT Quants
CAT Quantitative Aptitude | CAT 2021 Question Papers
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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:
f(x) = is negative if and only if
By taking factors of numerator and denominator, the function can be written as
The function will be negative if and only if one or three of the factors are negative.
When x < -5, all factors are negative. If -5 < x < - 2, only (x +5) is positive. If 3 < x < 9, only (x – 9) is negative.
Thus, f(x) = is negative if and only if -5 < x < -2 or 3 < x < 9