'Please if can also include the formula, diagram and explanation on the equation of how you got the answer, that be very appreciated and helpful"

"Thank You"

A)8 B)3 C)9 D)6 Use De Morgan's laws to write the negation of the statement. 12) A day late and a dollar short. 12) A) Not a day late and a dollar short. B) A day late or not a dollar short. C) Not a day late or not a dollar short. D) Not a day late and not a dollar short. 13)10 q) 18) A) The puppy behaves well and his owners are happy. B) The puppy behaves well or his owners are happy. C) It is not the case that if the puppy behaves well then his owners are happy. D) If the puppy does not behave well then his owners are not happy. 19) r A (p > q) 19) A) If the puppy is trained then the puppy behaves well, and his owners are happy. B) The puppy is trained, or if the puppy behaves well then his owners are happy. C) The puppy is trained if the puppy behaves well and his owners are happy. D) The puppy is trained, and if the puppy behaves well then his owners are happy. Write the negation of the conditional. Use the fact that the negation of p > q is p A ~q. 20) If you can't take the heat, stay out of the kitchen. 20) A) You can take the heat and stay out of the kitchen. B) You can take the heat but stay out of the kitchen. C) You can take the heat and do not stay of of the kitchen. D) You can't take the heat and do not stay out of the kitchen. 21) If it is raining, you take your rain coat. 21) MULTIPLE CHOICE. Choose the one altemative that best completes the statement or answers the question. Decide whether or not the following is a statement. 1) Do you like this color? 1) A) Not a statement B) Statement 2) Mary has a cat. 2) A) Not a statement B) Statement 3) Not all owers are roses. 3) A) Not a statement B) Statement Write a negation of the inequality. Do not use a slash symbol. 4) x s 17 4) A)x2 17 B)x> 17 C)xS-17 D)x> -17 5)x2 -19 5) A)x q is equivalent to -p v q. 22) If the sun comes out Tuesday, the daisies will open. 22) A) The sun does not come out Tuesday but the daisies will not open. B) The sun does not come out Tuesday or the daisies will open. C) The sun comes out Tuesday and the daisies will not open. D) The sun does not come out Tuesday or the daisies will not open. 23) If your shoes need polishing, you take them to Jack's place. 23) A) Your shoes need polishing and you do not take them to Jack's place. B) Your shoes need polishing so you take them to Jack's place. C) Your shoes do not need polishing or you take them to Jack's place. D) Your shoes do not need polishing or you do not take them to Jack's place. 24. For the following build truth tables. D~pV~q 2)~(qu)A~P 3)pv~(q/\\ r)