According to faraday's law the governing equation is emf=-d(flux)/dt.But we usually write the voltage across the inductor as v=d(flux)/dt.What happened to the minus sign?
If there's an inductor in series with a battery and you open the switch, the flux will be decreasing yet the voltage that appears across the inductor in a sense that will 'maintain' the current. I think that (Lenz's law) accounts for the choice of sign.
It is used to indicate that the induced emf OPPOSES the change producing it.
If you only need to calculate the magnitude is is common to drop the - sign