Consider statements p and q. p: Milan is hiking. q: Kira is in geometry class. (a) Write each statement below in symbolic form using p and q. Descriptive form Symbolic form q Statement 1: If Milan is...

Consider statements p and q. p: Milan is hiking. q: Kira is in geometry class. (a) Write each statement below in symbolic form using p and q. (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.Consider statements p and q.<br>p: Milan is hiking.<br>q: Kira is in geometry class.<br>(a) Write each statement below in symbolic form using p and q.<br>Descriptive form<br>Symbolic form<br>q<br>Statement 1: If Milan is not hiking, then Kira is in geometry class. 0<br>Ovo<br>O-0<br>Statement 2: Kira is not in geometry class and Milan is hiking.<br>(b) Complete the truth table below. Use T for true and F for false.<br>You may add more columns. But those added columns will not be graded.<br>Your answers from part (a) will fill in here.<br>Statement 1:<br>Statement 2:<br>Ovo<br>F<br>FT<br>F F<br>(c) Are Statement 1 and Statement 2 equivalent? Why or why not? Choose the best answer.<br>Statement 1 and Statement 2 are equivalent. This is because the truth value of<br>O Statement 1 is the same as the truth value of Statement 2 for each true-false<br>combination of p and q.<br>Statement 1 and Statement 2 are equivalent. This is because the two statements are<br>made from p and q, and any two statements made from p and q are equivalent.<br>Statement 1 and Statement 2 are not equivalent. This is because the two statements<br>are different, and different statements cannot be equivalent.<br>Statement 1 and Statement 2 are not equivalent. This is because the truth value of<br>O Statement 1 is different from the truth value of Statement 2 for at least one true-false<br>combination of p and q.<br>

Extracted text: Consider statements p and q. p: Milan is hiking. q: Kira is in geometry class. (a) Write each statement below in symbolic form using p and q. Descriptive form Symbolic form q Statement 1: If Milan is not hiking, then Kira is in geometry class. 0 Ovo O-0 Statement 2: Kira is not in geometry class and Milan is hiking. (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 F 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 Statement 1 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.
Jun 04, 2022
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