in first option,B is free from any variable..so whether it is E(x) oR V(x)..it should not effect the meanig of statement..so i think statement 1st should be valid as B is not bound.so whther it is true for one value or all values of x,it does not matter.
statement 2:LHS means that if A is true for some x then B is true,which means ,take a set x=(3,6,2,9,1) and A(x)=div by 3,B =sun shines in the noon.now A hold true for some values in x viz 3,6,9 .so from statement B is true
RHS means if for every x ,A is true then B is true...lets take x=3 ,A(x) is true,so B is true,
for x=6,A is true,hence B is true.same for x=9.
so,i think statment 2 id also valid.this is also because here B is again not bound.it is a free variable
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now third statement says:
LHS -if for some x ,A(x) is true then B(x) is also true.
RHS says,if A(x) is true for all X the B(x) is true for some x.
LHS is different from RHS here.
so i guess first two statements are coorect