Question:
Let f(x) = [x], x ∈ R, where [x] denotes the greatest integer ≤ x. Then the images of the elements -4.6 and 2.7 are respectively
Let f(x) = [x], x ∈ R, where [x] denotes the greatest integer ≤ x. Then the images of the elements -4.6 and 2.7 are respectively
Updated On: Apr 4, 2025
- -5, 2
- -5, 3
- -4, 2
- -3, 3
- -4, 3
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The Correct Option is A
Solution and Explanation
We are given the function f(x) = [x], where [x] denotes the greatest integer less than or equal to x.
For x = -4.6, the greatest integer less than or equal to -4.6 is -5. So, f(-4.6) = -5.
For x = 2.7, the greatest integer less than or equal to 2.7 is 2. So, f(2.7) = 2.
The answer is -5, 2.
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