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

• A. -5, 2
• B. -5, 3
• C. -4, 2
• D. -3, 3
• E. -4, 3

Answer 1

The Correct Option is A

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.