Question 957613
You use the constructive dilemma rule here. It happens in two steps. First you conjunct B⊃D, S⊃G together to get (B⊃D)&(S⊃G). Then you'll use constructive dilemma with (B⊃D)&(S⊃G) and  S v B to get D v G


Check out this list of rules:

<a href="http://www.butte.edu/~wmwu/iLogic/3.3/iLogic_3_3.html">http://www.butte.edu/~wmwu/iLogic/3.3/iLogic_3_3.html</a>


and specifically the constructive dilemma rule