Math

MAT-130 Homework Quiz 2 Name:___________________________________ Due Monday, March 8, 2021, NO LATER THAN 4:45 P.M. Each exercise is worth 1 point and you don’t have to show work. Identify each set as well defined or not well defined. 1. 𝑥| 𝑥 𝑖𝑠 𝑎 𝑛𝑎𝑡𝑢𝑟𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑠𝑡𝑟𝑖𝑐𝑡𝑙𝑦 𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 234

2. {𝑥|𝑥 𝑖𝑠 𝑎 𝑔𝑜𝑜𝑑 𝑝𝑜𝑘𝑒𝑟 𝑝𝑙𝑎𝑦𝑒𝑟}

3. 𝑥 𝑥 𝑖𝑠 𝑎 𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑠𝑡𝑟𝑖𝑐𝑡𝑙𝑦 𝑏𝑖𝑔𝑔𝑒𝑟 𝑡ℎ𝑎 21}

Find the cardinality of each of the following sets. 4. 𝐴 = {2,4,6,… ,1000} 5. 𝐵 = {0,1,2,3,… . ,3001} Fill each blank with either ∈ or ∉ to make each statement true. 6. 3______{ 3 ,2,5,6,8} 7. {0}____{3,9,10,27} Let U ={a,b,c,d,e, f,g}, A ={a,e}, B ={a,b,e, f,g}, C ={b, f,g}, and D ={d,e}. Tell whether each statement is true or false.

8.𝐷 ⊂ 𝐵

9. The empty set is not a subset of B.

10. There are exactly 3 proper subsets of A .