{"id":5694,"date":"2021-04-20T03:38:58","date_gmt":"2021-04-20T03:38:58","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/?post_type=chapter&p=5694"},"modified":"2021-07-07T02:12:05","modified_gmt":"2021-07-07T02:12:05","slug":"module-3a-problems","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/chapter\/module-3a-problems\/","title":{"raw":"Module 3 Problems","rendered":"Module 3 Problems"},"content":{"raw":"
    \r\n \t
  1. Create a truth table for ~p \u2227 q<\/li>\r\n \t
  2. Create a truth table for p\u00a0\u2228 ~q<\/li>\r\n \t
  3. Create a truth table for (p\u00a0\u2227 q)\u00a0\u2192 r<\/li>\r\n \t
  4. Create a truth table for ~p\u00a0\u2192 q<\/li>\r\n \t
  5. Create a truth table for (p\u00a0\u2228 q)\u00a0\u2194 r<\/li>\r\n \t
  6. Create a truth table for p\u00a0\u2194 ~q<\/li>\r\n<\/ol>\r\n

    Write the converse, inverse, and contrapositive of each statement.<\/h3>\r\n
      \r\n \t
    1. If it is raining, then the game is cancelled.<\/li>\r\n \t
    2. If you study, then you will be prepared for the test.<\/li>\r\n \t
    3. If Stacy doesn't like to cook, then she marries a chef.<\/li>\r\n \t
    4. If Jose wants to go to the party, then he must clean his room.<\/li>\r\n \t
    5. If Jamal doesn't practice, then he won't do well in the game.<\/li>\r\n \t
    6. If Sarah doesn't like cookies, then she won't be friends with Cookie Monster.<\/li>\r\n<\/ol>\r\n

      Write a statement that is equivalent to the given statement.<\/h3>\r\n
        \r\n \t
      1. If it is cold out, then you should wear a coat.<\/li>\r\n \t
      2. If the sun isn't shining, then I don't need my sunglasses.<\/li>\r\n \t
      3. If Haley is lactose intolerant, then she doesn't drink milk.<\/li>\r\n \t
      4. If Harold is gluten intolerant, then he can't eat a sandwich.<\/li>\r\n \t
      5. If Ron doesn't like crowds, then he stays home during festivals.<\/li>\r\n \t
      6. If Jackie likes to read, then she doesn't watch much TV.<\/li>\r\n<\/ol>\r\n

        Determine if the following examples are inductive or deductive reasoning.<\/h3>\r\n
          \r\n \t
        1. A recruiter notices that the last five employees she hired all graduated from Northwest Florida State College and are doing well in their positions. She makes a conjecture that all Northwest Florida State College grads will do well at her company.<\/li>\r\n \t
        2. I pull a coin from my wallet, and it is a penny. I pull a second coin from my wallet, and it is also a penny. Therefore, all the coins in my wallet must be pennies.<\/li>\r\n \t
        3. All the coins in my wallet are pennies. Therefore, I will pull out a penny if I randomly pick a coin.<\/li>\r\n<\/ol>\r\n

          Negate each statement below.<\/h3>\r\n
            \r\n \t
          1. All teachers are poor.<\/li>\r\n \t
          2. No cheaters pass.<\/li>\r\n \t
          3. Some people are not born lucky.<\/li>\r\n \t
          4. Some dogs are mean.<\/li>\r\n \t
          5. If it\u2019s hot, then Sam goes to the beach.<\/li>\r\n \t
          6. If I write a test, then it\u2019s not hard.<\/li>\r\n \t
          7. If you don't like cookies, then you are not Cookie Monster.<\/li>\r\n \t
          8. I like cookies and I like milk.<\/li>\r\n \t
          9. The sky is blue or the grass is purple.<\/li>\r\n \t
          10. I have to stay home and you can't go either.<\/li>\r\n \t
          11. The tuition is low or there are lots of scholarships available.<\/li>\r\n<\/ol>\r\n

            Draw a valid conclusion from each set of premises.<\/h3>\r\n
              \r\n \t
            1. If you have a cat, then you have a pet. Jane has a cat.<\/li>\r\n \t
            2. If more is spent on research, medical science will advance.\u00a0 More is not spent on research.<\/li>\r\n \t
            3. If you go to the beach, then you wear sunscreen.\u00a0 If you wear sunscreen, then you won't get burnt.<\/li>\r\n \t
            4. John likes cookies or milk. John doesn't like milk.<\/li>\r\n<\/ol>","rendered":"
                \n
              1. Create a truth table for ~p \u2227 q<\/li>\n
              2. Create a truth table for p\u00a0\u2228 ~q<\/li>\n
              3. Create a truth table for (p\u00a0\u2227 q)\u00a0\u2192 r<\/li>\n
              4. Create a truth table for ~p\u00a0\u2192 q<\/li>\n
              5. Create a truth table for (p\u00a0\u2228 q)\u00a0\u2194 r<\/li>\n
              6. Create a truth table for p\u00a0\u2194 ~q<\/li>\n<\/ol>\n

                Write the converse, inverse, and contrapositive of each statement.<\/h3>\n
                  \n
                1. If it is raining, then the game is cancelled.<\/li>\n
                2. If you study, then you will be prepared for the test.<\/li>\n
                3. If Stacy doesn’t like to cook, then she marries a chef.<\/li>\n
                4. If Jose wants to go to the party, then he must clean his room.<\/li>\n
                5. If Jamal doesn’t practice, then he won’t do well in the game.<\/li>\n
                6. If Sarah doesn’t like cookies, then she won’t be friends with Cookie Monster.<\/li>\n<\/ol>\n

                  Write a statement that is equivalent to the given statement.<\/h3>\n
                    \n
                  1. If it is cold out, then you should wear a coat.<\/li>\n
                  2. If the sun isn’t shining, then I don’t need my sunglasses.<\/li>\n
                  3. If Haley is lactose intolerant, then she doesn’t drink milk.<\/li>\n
                  4. If Harold is gluten intolerant, then he can’t eat a sandwich.<\/li>\n
                  5. If Ron doesn’t like crowds, then he stays home during festivals.<\/li>\n
                  6. If Jackie likes to read, then she doesn’t watch much TV.<\/li>\n<\/ol>\n

                    Determine if the following examples are inductive or deductive reasoning.<\/h3>\n
                      \n
                    1. A recruiter notices that the last five employees she hired all graduated from Northwest Florida State College and are doing well in their positions. She makes a conjecture that all Northwest Florida State College grads will do well at her company.<\/li>\n
                    2. I pull a coin from my wallet, and it is a penny. I pull a second coin from my wallet, and it is also a penny. Therefore, all the coins in my wallet must be pennies.<\/li>\n
                    3. All the coins in my wallet are pennies. Therefore, I will pull out a penny if I randomly pick a coin.<\/li>\n<\/ol>\n

                      Negate each statement below.<\/h3>\n
                        \n
                      1. All teachers are poor.<\/li>\n
                      2. No cheaters pass.<\/li>\n
                      3. Some people are not born lucky.<\/li>\n
                      4. Some dogs are mean.<\/li>\n
                      5. If it\u2019s hot, then Sam goes to the beach.<\/li>\n
                      6. If I write a test, then it\u2019s not hard.<\/li>\n
                      7. If you don’t like cookies, then you are not Cookie Monster.<\/li>\n
                      8. I like cookies and I like milk.<\/li>\n
                      9. The sky is blue or the grass is purple.<\/li>\n
                      10. I have to stay home and you can’t go either.<\/li>\n
                      11. The tuition is low or there are lots of scholarships available.<\/li>\n<\/ol>\n

                        Draw a valid conclusion from each set of premises.<\/h3>\n
                          \n
                        1. If you have a cat, then you have a pet. Jane has a cat.<\/li>\n
                        2. If more is spent on research, medical science will advance.\u00a0 More is not spent on research.<\/li>\n
                        3. If you go to the beach, then you wear sunscreen.\u00a0 If you wear sunscreen, then you won’t get burnt.<\/li>\n
                        4. John likes cookies or milk. John doesn’t like milk.<\/li>\n<\/ol>\n","protected":false},"author":407919,"menu_order":10,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-5694","chapter","type-chapter","status-publish","hentry"],"part":5461,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/5694","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/users\/407919"}],"version-history":[{"count":4,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/5694\/revisions"}],"predecessor-version":[{"id":5724,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/5694\/revisions\/5724"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/parts\/5461"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/5694\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/media?parent=5694"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=5694"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/contributor?post=5694"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/nwfsc-mathforliberalartscorequisite\/wp-json\/wp\/v2\/license?post=5694"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}