review on last week lessons

Which of the following DOES NOT define a set?

• 𝐿={𝑥|𝑥 𝑖𝑠 𝑎 𝑓𝑒𝑚𝑎𝑙𝑒 𝑡𝑒𝑎𝑐ℎ𝑒𝑟 𝑖𝑛 𝑀𝑎𝑘𝑎𝑡𝑖 𝐻𝑖𝑔ℎ 𝑆𝑐ℎ𝑜𝑜𝑙}

• 𝑂={𝑥|𝑥 𝑖𝑠 𝑎 𝑔𝑟𝑎𝑑𝑒 7 𝑡𝑒𝑎𝑐ℎ𝑒𝑟 𝑖𝑛 𝑀𝑎𝑘𝑎𝑡𝑖 𝐻𝑖𝑔ℎ 𝑆𝑐ℎ𝑜𝑜𝑙}

• 𝑉={𝑥|𝑥 𝑖𝑠 𝑎 𝑀𝑎𝑡ℎ𝑒𝑚𝑎𝑡𝑖𝑐𝑠 𝑡𝑒𝑎𝑐ℎ𝑒𝑟 𝑖𝑛 𝑀𝑎𝑘𝑎𝑡𝑖 𝐻𝑖𝑔ℎ 𝑆𝑐ℎ𝑜𝑜𝑙}

• 𝐸={𝑥|𝑥 𝑖𝑠 𝑎𝑛 𝑜𝑢𝑡𝑠𝑡𝑎𝑛𝑑𝑖𝑛𝑔 𝑡𝑒𝑎𝑐ℎ𝑒𝑟 𝑖𝑛 𝑀𝑎𝑘𝑎𝑡𝑖 𝐻𝑖𝑔ℎ 𝑆𝑐ℎ𝑜𝑜𝑙}

Given are two sets, A and B, where 𝐴={1,2,3,4} and 𝐵={2,1,4,3}. Which of the following statements is TRUE with the given sets?

• 𝐴⊂𝐵

• 𝐴=𝐵

• 𝑛(𝐴)≠𝑛(𝐵)

• 𝐵⊃𝐴

Which of the following sets is shown with the roster notation?

• 𝐹={𝑥|𝑥 𝑖𝑠 𝑎𝑛 𝑒𝑣𝑒𝑛 𝑛𝑢𝑚𝑏𝑒𝑟}

• 𝑈={𝑙𝑒𝑡𝑡𝑒𝑟𝑠 𝑖𝑛 𝑡ℎ𝑒 𝐸𝑛𝑔𝑙𝑖𝑠ℎ 𝑎𝑙𝑝ℎ𝑎𝑏𝑒𝑡}

• 𝐸={𝑟𝑒𝑑,𝑏𝑙𝑢𝑒,𝑦𝑒𝑙𝑙𝑜𝑤}

• 𝐿={𝑐𝑜𝑙𝑜𝑟𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑟𝑎𝑖𝑛𝑏𝑜𝑤}

Which of the following is a subset of 𝑃={1,@,9}?

• A. {1,@}

• B. {1,@,8}

• C. {5}

• D. {9,3,@

Which of the following sets is equivalent to 𝑀={𝑎,#,4,5,&} ?

• A. {𝑎,#,4,&}

• B. {1,2,3,4,𝑎,#}

• C. { 4,5,&}

• D. {1,2,3,4,5}

What is the cardinality of set 𝑃={1,@,9}?

• 2

• 3

• 4

• 5

Which of the following statement is/are TRUE?

I. An empty set is a set that has 0 as its element.

II. The given set is a subset to itself.

• A. I only

• B. II only

• C. Both I & II

• D. Neither I nor II

If the total number of subsets that a set has is 64, how many elements does it have?

• 5

• 6

• 7

• 8

Given 𝑄={𝐴𝑝𝑟𝑖𝑙,𝐽𝑢𝑛𝑒,𝑆𝑒𝑝𝑡𝑒𝑚𝑏𝑒𝑟,𝑁𝑜𝑣𝑒𝑚𝑒𝑏𝑒𝑟 }, which of the following is the correct descritiption of the given set using set-builder notation?

• A. {𝑥|𝑥 𝑖𝑠 𝑎 𝑚𝑜𝑛𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟}

• B. {𝑥|𝑥 𝑖𝑠 𝑜𝑛𝑒 𝑜𝑓 𝑡ℎ𝑒 𝑚𝑜𝑛𝑡ℎ𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑓𝑖𝑟𝑠𝑡 𝑞𝑢𝑎𝑟𝑡𝑒𝑟 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟}

• C. {𝑥|𝑥 𝑖𝑠 𝑚𝑜𝑛𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟 𝑤𝑖𝑡ℎ 30 𝑑𝑎𝑦𝑠}

• D. {𝑥|𝑥 𝑖𝑠 𝑎 𝑚𝑜𝑛𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑦𝑒𝑎𝑟 𝑤𝑖𝑡ℎ 31 𝑑𝑎𝑦𝑠}

What will be the resulting set when we get the intersection of the sets

𝐷={𝑙,𝑜,𝑣,𝑒} and 𝐸={𝑔,𝑢,𝑖,𝑑,𝑒} ?

• A. {𝑙,𝑜,𝑣,𝑒,𝑔,𝑢,𝑖,𝑑}

• B. {𝑙,𝑜,𝑣}

• C. {𝑣,𝑒}

• D. {𝑒}