Please help with the following! 1 A. Rewrite the following sentences in symbolic form, by breaking it up into propositions and logical connectives. List your labeled propositions, before writing up in symbolic form. We went to the store. Afterwards we watched a movie or made dinner. For dinner we ate chicken and beans. If for dinner we ate chicken, then we had cake and ice cream for dessert.

B. Create truth tables to show the truth values of the following compound propositions. a. (p q) (p q) b. (pr)(pr) c. (pr)(pr) d. (p qr)q

C. Are any of the compounded propositions under problem number 1B equivalent? If so which ones (list them)?

D. Are the following compound propositions equivalent? Show your work in the form of a truth table. a. Is (p (p q)) equivalent to (p (pq)) ? b. Is (p (p q)) equivalent to (pq)?