Given,
$a + b < c + d \ldots \text { (i) }$
$b + c < d + e \ldots \text { (ii) }$
$c + d < e + a \ldots \text { (iii) }$
$d + e < a + b \ldots \text { (iv) }$
From Eqs.$(i)$ and $(iii)$, we get
$a + b + c + d < c + d + e + a$
$b < e$
From Eqs.$(ii)$ and $(iv)$, we get
$b + c + d + e$ $ < d + c < a + b$
$c < a$
$\text { From Eqs. (i) and (iv), we get }$
$a + b + d + e$ $< c + d + a + b$
$e < c$
From Eqs. $(v), (vi), (vii)$, we get
$a > c > e > b$
$\therefore$ Largest value is $a$ and smallest value is $b$.
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