Math

Sets and Relations Solutions

Select two items. 1) Determine whether there is a positive, negative, or no correlation. 2) Identify the equation that best fits the data. x y 0 -3 -4 9 3 9 -3 3 4 17 a)y = -x^2 - 4x + 3 b)y = x^2 + x - 3 c)positive corrrelation d)no correlation e)negative correlation f)y = x² + 2x - 1

Solve the compound inequality. Graph the solution set and write it in interval notation. x < 4 and x > -1 Choose the correct graph of the solution set. Write the solution set in interval notation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (A) The solution set is ______. (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) (B) The solution set is Ø.

Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives. a) Something is not in the correct place. b) All tools are in the correct place and are in excellent condition. c) Everything is in the correct place and in excellent condition. d) Nothing is in the correct place and is in excellent condition. e) One of your tools is not in the correct place, but it is in excellent condition.

Two hundred college students were recently asked if they participated in music or sports. 127 students said they were involved in music. 78 students said they participated in both activities, while 20 students did not participate in either. How many students participated in only music? ▢ How many students participated in only sports? ▢ How many students were involved in music or sports? ▢

Let N denote the set of all natural numbers. Define two binary relations on N as R₁ = {(x, y) ∈ N × N: 2x + y = 10} and R₂ = {(x, y) ∈ N × N: x + 2y = 10}. Then : (a) Both R₁ and R₂ are symmetric relations (b) Range of R₁ is {2, 4, 8} (c) Both R₁ and R₂ are transitive relations (d) Range of R₂ is {1,2,3,4}

If A = {x | x is an even integer), B = {x | x is an odd integer), C = {2, 3, 4, 5), and D = {7, 8, 9, 10), list the element(s) of the following set. A∩D=_____

If A = {x | x is an odd integer), B = {xl x is an even integer}, C = {2, 3, 4, 5), and D = {5, 6, 7, 8), list the element(s) of the following set. a)A∩D=_____

MATH FOR ELEM Chapter 3 - Negation CURRENT OBJECTIVE Identify and negate quantified statements Question Which of the following statements are equivalent to "Every bassist is a musician"? Select the correct answer below: Not all bassists are musicians. Every musician is a bassist. All bassists are not musicians. No bassist is not a musician. B FEEDBACK MORE INSTRUCTION SUE

Exam Determine whether the statement is true or false, and explain why. < Question 45 of 50 In a Venn diagram, draw one circle for A and a second circle for its complement This test: 50 polnt(s. This question: 1 polr Choose the correct answer below. O A. The statement is false. The complement is the region where the circle for A and the second circle overlap, as well as the universal sot outside of both circles. OB. The statement is true. This statement applies to all Venn diagrams. OC. The statement is false. The complement is the universal set outside of the circle for A. OD. The statement is false. The complement is the region where the circle for A and the second circle overlap.

Decide whether the statement is true or false. ØEØ} Choose the correct answer below. O A. True because {@} represents a set with one element, Ø. O B. False because contains 0 elements so the only element of (Ø) is 0. O C. False because Ø contains no elements so nothing can belong to it. O D. True because {ø} is a subset of Ø.

Decide whether the statement is true or false, Question 42 of OEØ Choose the correct answer below. O A. False because Ørepresents a set with O clements, not a set containing , OB True because is a set and Ois a number, OC. True because Øhas 0 elements and 0=0, OD. False because is a set, so the expression should be written 0 SØ

When filling your gas tank if you pay c dollars for g gallons of gas, you have the following table. C 4 15.80 8 31.60 1143.45 15 57.25 Choose all of the following statements that are true. Select one or more: a The range is (4. 8. 11. 15). Ob The set of independent values is (15.80, 31.60, 43.45, 57.25). OC The domain is (15.80. 31.60, 43.45, 57.25). Od The set of dependent values is (4. 8. 11. 15). 2e none of these

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