Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is fair". The domain for x and y is the set of all persons. Select the symbolic (s) of the following senetnce: "Some fair persons are friends with Harry"
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- Let the domain be the set of all people. Let: P(x,y): x knows y. Which of the following is the correct translation for: "Someone is known by everyone." Select the correct option (a) ∃y∀x P(x,y) (b) ∃x∀y P(x,y) (c) ∀y∃x P(x,y) (d) ∀x∃y P(x,y)For "x is in A intersect B" give an equivalent statement that uses "x is in A" and "x is in B". You may use Java's notation for the boolean operators, and "is in" for set membership.Use the roster method to describe the elements of the following sets. ([–4, 6] n (−3, 11)) nZ = ([−4, –3) U (−3, 6)) nZ =
- Indiana's favourite set is A= {r² +1: z € Z, -3Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16. Determine: |B|: Number of relations from A to B:Specify the sets by roster: (a) {odd counting numbers less than 11} (b) {positive multiples of three} (#28) Write out in words the description of the set. Them list the set in roster form: { x | x ∈ W , x ≤ 8 | } (#42) Determine whether each statement is true or false. Give reasons for your answers : (a) m ∈ { m , a , t , h } (b)| Let A = P({1,{1}}}, B = P({0,1}), and C = P({0,1}) where P(S) is the power set of S. Find the result of each of the following set operations: a. B-C b. AU (B-C) c. d. An (B-C) Ax (1,(1}}Let IR be the set of real numbers, A = {r e IR: 5the course is (discrete structure) you need to match A,B,C3. [8] Let A = {a, b, c} and B = {u, v}. Use the set-roster notation to write the elements in the following sets, and indicate the number of elements that are in each set: (а) А х В (b) В х АThe stem-and-leaf display below gives the number of minutes that customers waited for their orders at two different restaurants. There were 14 wait times recorded for the first restaurant and 21 recorded for the second. Use the display to answer the questions that follow. Number of minutes customers waited First restaurant Second restaurant 9 05 89 751 144 55 7 88 77300 20 4 555 6 9533 2 3 1 3 5 6 4 7 Key: 9 + 9| 0 |5 - 5 (a) What were the ranges of wait times for the two restaurants? First restaurant Second restaurant (b) Which restaurant had the greater median wait time? OFirst restaurant Second restaurant OThe medians were the same (c) Which restaurant had more wait times from 40 to 49 minutes? OFirst restaurant OSecond restaurant OEach had the sameTRUE (c) The union of two sets, A and B, is the set of all elements in A and B. FALSESEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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