n^2 > n + 3 is true for:
Correct answer: A. n ≥ 3
- A. n ≥ 3
- B. n ≥ 1
- C. n ≥ 2
- D. n ≥ -1
Explanation
To determine the range of values for n where n^2 > n + 3 is true, we need to solve the inequality:n^2 > n + 3Rearranging the inequality, we get:n^2 - n - 3 > 0This is a quadratic inequality, and we can solve it using the quadratic formula or by factoring.The solutions are:n > 3 or n < -1Therefore, the correct option is (a) n ≥ 3, as the inequality is true for all values of n greater than or equal to 3.
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