SOLUTION: If [x] is the greatest integer less than or equal to x , what is the value of [--1.6]++ [3.4]++ [2.7] ? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7

Algebra ->  Number-Line -> SOLUTION: If [x] is the greatest integer less than or equal to x , what is the value of [--1.6]++ [3.4]++ [2.7] ? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7       Log On


   



Question 165474: If [x] is the greatest integer less than or equal to x , what is the value of
[--1.6]++ [3.4]++ [2.7] ?
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
If [x] is the greatest integer less than or equal to x , what is the value of 
[-1.6] + [3.4] + [2.7] ? 
(A) 3 (B) 4 (C) 5 (D) 6 (E) 7 


Draw a number line:

--------------------------------------------------------------------------
-4       -3       -2       -1        0        1        2        3        4

Mark all those numbers approximately as points on the number line:

----------------------@--------------------------------------@-----@------
-4       -3       -2       -1        0        1        2        3        4

The first integer to the LEFT of -1.6 is -2, so [-1.6] = -2

The first integer to the LEFT of 3.4 is 3, so [3.4] = 3 

The first integer to the LEFT of 2.7 is 2, so [2.7] = 2

So [-1.6] + [3.4] + [2.7] = (-2) + (3) + (2) = 3

Choice (A)

Edwin