2. Identify the sufficient condition in each of the following pairs: It is a consumer. It is a rational consumer. а. It is a strictly convex set. It is a complete preference b. It is a convex set. с. It is a rational preference relation. relation. It is a set of points in a plane equidistant from a given point. d. It is a circle.

Match the following sets with their cardinalities. {t, 5, 1, p} Choose... {0} Choose... Choose... {} Choose...

Part 2. Each relation given below is a partial order. Draw the Hasse diagram for the partial order. (a) The domain is {3, 5, 6, 7, 10, 14, 20, 30, 60}. x ≤ y if x evenly divides y. 1 (b) The domain is {a, b, c, d, e, f}. The relation is the set: {(b, e), (b, d), (c, a), (c, f), (a, f), (a, a), (b, b), (c, c), (d, d), (e, e), (ƒ, f)}

4. Let X = {n €N : 10

Consider the following two statements: (1) If a relation on a nonempty set is reflexive, then it is not irreflexive. (2) If a relation on a nonempty set is not reflexive, then it is irreflexive O Neither (1) nor (2) is always true. O Only (1) is always true. O Only (2) is always true. Both (1) and (2) are always true.

16:40 ← This document contains ink, shapes an... GENMATH11_q1_...5_Edward ReyesJr - Saved your answer. Activity 1: RELATION-ships bokm (4,0) a function? 1. For which values of k is the set of order pairs 2, 4/ k, 6 2. Which of the following diagram represents a relation that is NOT a function? A. B. Pok Domain Domain 2 3 4 What I Can Do Range 6 Range 5 What I Learned 7 ||| 1. What did you discover from the activity? C. D. 3. How will you validate your answer? Domain O 0€ 3 Domain Range 3 4 3. Give the domain of y = √6-x using set builder notation. 4. A person is earning P600 per day to do a certain job. Express the total salary S as a function of the number n of days that the person works. 5 6 7 Answer the following problems involving simple interest. Write your complete solutions and answers on a 1 whole sheet of paper. Range 1. A taxi ride costs P40.00 for the first 500 meters, and each additional 300 meters (or a fraction thereof) adds P3.50 to the fare. Use a piecewise function to…

9.12. Let S = {a, b, c}. Then R = {(a, a), (a, b), (a, c)} is a relation on S. Which of the properties reflexive, symmetric and transitive does the relation R possess? Justify your answers.