isi-entrance 2019 Q7

isi-entrance · India · UGA Modulus function Solving inequalities involving modulus
Let $\alpha$ denote a real number. The range of values of $| \alpha - 4 |$ such that $| \alpha - 1 | + | \alpha + 3 | \leq 8$ is
(A) $( 0,7 )$
(B) $( 1,8 )$
(C) $[ 1,9 ]$
(D) $[ 2,5 ]$.
Let $\alpha$ denote a real number. The range of values of $| \alpha - 4 |$ such that $| \alpha - 1 | + | \alpha + 3 | \leq 8$ is\\
(A) $( 0,7 )$\\
(B) $( 1,8 )$\\
(C) $[ 1,9 ]$\\
(D) $[ 2,5 ]$.