MMW_MIDTERM EXAM

1. MIDTERM EXAMINATION MATHEMATICS IN THE MODERN WORLD IDENTIFICATION: 1. The set of all subsets of a set A is called the ____________ of A and denoted as 2. The intersection of A and B, denoted by ______ is the set whose elements are just the elements of both A and B. 3. ________ defines relationship between elements of two sets A and B. 4. He is considered the ―father of symbolic logic‖. He developed logic as an abstract mathematical system consisting of defined terms (propositions), operations (conjunction, disjunction, and negation), and rules for using the operations. _________________ 5. A proposition is a statement in ____________ form which expresses a single and complete idea, and bears either truth or false. SOLVING: BODMAS: Solve the following and show your solution: (2 points each) 1. 16 – 3(8-3)2 ÷ 5 = 2. 2 – 2 x 2+ 2 = 3. 32– (-32) = 4. 4(10+15÷5×4-2×2) = CARTESIAN PRODUCT: (3 points) Let X = b, m, s and Y = i, e ,then 1.X x Y = DIAGRAM ANALYSIS: (5 points) 1. Let p and q be the proposition: p- “I study” q- “I get good grades” STATEMENT I do not study. TRANSLATION p ˄ q p → q I study if and only if I get good grades.

2. COMPLETE THE TABLE: (10 points) ANALYSIS: (5 Points) Identify which diagram shows a function and not a function. Elucidate their differences and explain why function and why not? A B Bonus (Optional-5 points) Logic: Four people are crossing a bridge at night, so they all need a torch—but they just have one that only lasts 15 minutes. Alice can cross in one minute, Ben in two minutes, Cindy in five minutes and Don in eight minutes. No more than two people can cross at a time; and when two cross, they have to go at the slower person’s pace. How do they get across in 15 minutes? Prepared by: Ms. Gina Fe S. Legaspi gfslegaspi@sbca.edu.ph