isi-entrance 2022 Q11

isi-entrance · India · UGA Modulus function Optimisation of sums of absolute values

What is the minimum value of the function $| x - 3 | + | x + 2 | + | x + 1 | + | x |$ for real $x$?
(A) 3
(B) 5
(C) 6
(D) 8

What is the minimum value of the function $| x - 3 | + | x + 2 | + | x + 1 | + | x |$ for real $x$?\\
(A) 3\\
(B) 5\\
(C) 6\\
(D) 8