Carcass wrote:
If f(x) = |x| + [x] where [x] is the greatest integer less than or equal to x, the value of f(-0.5) + f(2.5) is
a. -2
b. 2
c. 3
d. 4
e. -3
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookASIDE---------------------
Let's make sure we understand what this [] symbol means.
Here are a few examples:
[3.1] = 3
[5.8] = 5
[0.7] = 0
[-0.9] = -1
[-4.6] = -5
--------------------------
So, [-0.5] =
-1 and [2.5] =
2So, f(-0.5) = |-0.5| + [-0.5]
= 0.5 +
(-1)And f(2.5) = |2.5| + [2.5]
= 2.5 +
2This means: f(-0.5) + f(2.5) = [0.5 +
(-1)] + [2.5 +
2] = 4
Answer: D
Cheers,
Brent