Consider statements p and q. p: We are having pizza for dinner.q: It is Sunday. (a) Write each statement below in symbolic form using p and q. Descriptive Form Statement 1: It is false that "we are...

Consider statements p and q. p: We are having pizza for dinner. q: It is Sunday. (a) Write each statement below in symbolic form using p and q. Descriptive Form Statement 1: It is false that "we are having pizza for dinner or it is Sunday." Statement 2: If we are having pizza for dinner, then it is not Sunday. Symbolic Form Statement 1: Statement 2: (b) Complete the truth table below. Use T for true and F for false. (c) Are Statement 1 and Statement 2 equivalent? Why or why not? Choose the best answer.

Extracted text: Consider statements p and q. p: We are having pizza for dinner. q: It is Sunday. (a) Write each statement below in symbolic form using p and q. Symbolic form Descriptive form Ovo Statement 1: It is false that "we are having pizza for dinner or it is Sunday." O-0 Statement 2: If we are having pizza for dinner, then it is not Sunday. (b) Complete the truth table below. Use T for true and F for false. You may add more columns. But those added columns will not be graded. Your answers from part (a) will fill in here. Statement 1: Statement 2: Ovo TF FT F F (c) Are Statement 1 and Statement 2 equivalent? Why or why not? Choose the best answer. Statement 1 and Statement 2 are equivalent. This is because the truth value of O Statement1 is the same as the truth value of Statement 2 for each true-false combination of p and q. Statement 1 and Statement 2 are equivalent. This is because the two statements are made from p and q, and any two statements made from p and q are equivalent. Statement 1 and Statement 2 are not equivalent. This is because the two statements are different, and different statements cannot be equivalent. Statement 1 and Statement 2 are not equivalent. This is because the truth value of O Statement 1 is different from the truth value of Statement 2 for at least one true-false combination of p and q. O D