$\mathbf{4}+4<2(\mathbf{4})-3$

Simplifying, you get:
$8<8-3\\ 8<5$
Is $8$ less than $5$?

False

$\mathbf{-2}+4<2(\mathbf{-2})-3$

Simplifying, you get:
$2<-4-3\\ 2<-7$
Is $2$ less than $-7$?

See parts (a) and (b).

See parts (a) and (b).