Need help with discrete math, please answer in detail and provide any logical equivalencies used

11. Determine whether the following is true: .b~vd= (br d ) ~ 12. True or false? The negation of "If Sue is Luiz's mother, then Deanna is his cousin " is "If Sue is Luiz's mother, then Deanna is not his cousin". 13. Determine whether the following is true: (a) : 1+ ( b + d) = (1 + b) +d (b) 'd~ + b~ = ( b + d ) ~