Linearizing non-linear constraints

Question

These constrains are non-linear and I am supposed to linearize them.

(l_iv+Q_j-l_jv)x_ijv <= 0

(l_iv-Q_j-l_(n+j)v)x_i(n+j)v<=0

(t_iv+T_ijv-t_jv)x_ijv <= 0

 

Linearized, they should look like this (according to the solution):

These constrains are non-linear and I am supposed to linearize them.

I have no idea how they did this. Please help
l_iv+Q_j -l_jv <= (K_v+Q_j)(1-x_ijv)
l_iv-Q_j- l_(n+j)v <=(Kv-Q_j)(1-x_i(n+j)v)
t_iv+Ti_jv-t_jv <= (T^-_i+T_ijv-T_-j)(1-x_ijv)

 

 

The T's are not negative (as it might look), they correspond to an upper and lower bound of time T

Answer 1

My apologies but the answers do not look linearized at all

especially since t is a time variable