Reword the given statement in if-then form and illustrate it with a Venn diagram. What can you conclude by using the given statement together with each lettered statement? If no conclusion is possible, say so
11. Given All senators are at least 30 years old
a. Jose Avila is 48 years old.
b. Rebecca Castelloe is a senator.
c. Constance Brown is not a senator.
d. Ling Chen is 29 years old.
12. Given: Math teachers assign hours of homework
a. Bridget Sullivan is a math teacher.
b. August Campos assigns hours of homework.
Answer: No conclusion.
c. Andrew Byrnes assigns no homework.
d. Jason Babler is not a math teacher.
What can you conclude by using the given statement with each additional statements? If no conclusion? If no conclusion is possible, say so
13. Given: If it is not raining, then I am happy.
a. I am not happy.
b. It is not raining.
c. I am overjoyed.
d. It is raining.
14. Given: All my students love geometry.
a. Stu is my student.
b. Luis loves geometry.
c. Stella is not my student.
d. George does not love geometry.
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