Solve problems involving sets
- 2. OR - UNION AND - INTERSECTION
- 3. •Consider this problem: In a class of 40, 12 students prefer taking Japanese Language as elective subject, 15 prefer Korean language, and 8 like to learn both
- 4. 40 students - Total 12 students – Japanese Language 15 students - Korean language 8 students - Both languages. 𝟏𝟐 − 𝟖 𝑩𝒐𝒕𝒉 𝟏𝟓 − 𝟖 𝟒𝟎 − 𝟏𝟗
- 5. 1. How many students prefer Japanese or Korean language? There are 19 students prefer Japanese or Kore
- 6. 2. How many students prefer Korean language but not the Japanese language? There are 7 students prefer Korean Language but not Japanese Language.
- 7. 3. How many students prefer only one of the two languages? There are 11 students prefer only one of the t
- 8. 4. How many students prefer neither of the two languages? Total → 𝟒𝟎 𝐉 ∪ 𝐊 → 𝟏𝟗 𝟒𝟎 − 𝟏𝟗 = 𝟐𝟏 There are 21 students prefer neither of the tw
- 9. •Consider another problem: A survey was conducted with 50 people on the ice cream flavor they like. It was found out that 28 likes chocolate, 15 likes mango, and 20 likes strawberry. Furthermore, 8 likes chocolate & strawberry, 11 likes mango & strawberry, 7 likes chocolate
- 10. 50 → Total people 28 → Chocolate 15 → Mango 20 → Strawberry 8 → Chocolate & Strawberry 11 → Mango & Strawberry 7 → Chocolate & Mango 4 → 3 flavors C S M U 43 7 4 5 1 17 17+4+4+3+1+7+5 =41 9
- 11. How many people likes: 1. Chocolate only 2. Strawberry only 3. Mango Only 4. Chocolate & Strawberry but not Mango 5. None of the flavors
- 12. The number of people who likes: 1. Chocolate only is 𝟐𝟖 − 𝟏𝟏 = 𝟏𝟕 2. Strawberry only is 𝟐𝟎 − 𝟏𝟓 = 𝟓 3. Mango only is 𝟏𝟓 − 𝟏𝟒 = 𝟏 4. Chocolate & Strawberry but not Mango is 𝟏𝟕 + 𝟒 + 𝟓 = 𝟐𝟔