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Mathematics for Liberal Arts
MGF 1106
MGF 1106 Mathematics for liberal Arts 1
MGF 1106 Exam
Course Title and Number: MGF 1106 Mathematics for liberal Arts 1 Exam Exam Title: MGF 1106 1 Exam Exam Date: Exam 2024- 2025 Instructor: [Insert Instructor’s Name] Student Name: [Insert Student’s Name] Student ID: [Insert Student ID]
Examination
180 minutes
Instructions:
- Read each question carefully.
- Answer all questions.
- Use the provided answer sheet to mark your responses.
- Ensure all answers are final before submitting the exam.
- Please answer each question below and click Submit when you have completed the Exam.
- This test has a time limit, The test will save and submit automatically when the time expires
- This is Exam which will assess your knowledge on the course Learning Resources.
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MGF 1106 Mathematics for Liberal Arts
MGF 1106 Exam 1 Review Questions and
Answers | 100% Pass Guaranteed | Graded
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Read All Instructions Carefully and Answer All the Questions Correctly Good Luck: When are ordered pairs equal? - =Answer>> The are equal provided that their first components are equal and their second components are equal. What is a statement? - =Answer>> It is a declarative sentence that is either true or false, but not simultaneously. What is a compound statement? - =Answer>> It is formed by combining two or more statements. What is a component statement? - =Answer>> It is the statement that makes up a compound statement. List examples of connectives. - =Answer>> And, or, not, if...then. Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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What is the negation of P - =Answer>> Direct Statement (Valid) - =Answer>> If P then Q P
Q Contrapositive (Valid) - =Answer>> If P then Q -Q
-P Transitive (Valid) - =Answer>> If P then Q If Q then R
If P then R Disjunctive Syllogism (Valid) - =Answer>> P V Q -Q / -P
P / Q Fallacy of Converse (Invalid) - =Answer>> If P then Q Q
P Fallacy of Inverse (Invalid) - =Answer>> If P then Q -P
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False Chains - =Answer>> If P then Q / If P then Q If P then R / If R then Q
If Q then R / If P then R Disjunctive Fallacy - =Answer>> P V Q / P V Q P / Q
-Q / -P Natural/Counting Numbers - =Answer>> 1,2,3, Elipsis - =Answer>> ... inductive reasoning - =Answer>> Specific --> general. Starts with a conclusion. Counterexample - =Answer>> any example that proves a conditional statement false. Only one exception is necessary to prove a conjecture false. If no counterexample is found, then the conjecture is neither proven or disproven. Deductive reasoning - =Answer>> General --> Specific. Hypothesis Well defined set - =Answer>> A set is well defined if its contents can be clearly determined. Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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one-to-one correspondence - =Answer>> every element must have a match. Empty set - =Answer>> a set with no elements, ∅ { } U - =Answer>> Universal set. Items inside the rectangle may be divided into subsets of U. Disjoint Sets - =Answer>> No elements in common Proper Subset - =Answer>> A proper subset of a set is a subset of that is not equal to. In other words, if is a proper subset of , then all elements of are in but contains at least one element that is not in. For example, if A = { 1 , 3 , 5 } then B = { 1 , 5 } is a proper subset of Complement of a set - =Answer>> The complement of set A, symbolized is the set of all elements in the universal set that are not in set A. A' Intersection - =Answer>> The intersection of sets A and B, symbolized A ∩ B, is the set containing all the elements that are common to both set A and set B. "AND" Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Union - =Answer>> The union of sets A and B, symbolized A ∪B, is the set containing all the elements that are members of set A or of set B (or of both sets.) "OR" Exactly two - =Answer>> All intersections, except for intersections of all 3 Statement - =Answer>> A sentence that can be judged either true or false Subset - =Answer>> ⊆ If any and only if all elements of set A are also elements of set B. Smaller set is the subset, Must include all original subsets. Aristotle - =Answer>> Father of logic Connectives - =Answer>> and, or, if, then Exclusive or - =Answer>> one or the other, but not both Inclusive or - =Answer>> One or the other, but not both Simple statement - =Answer>> A sentence that conveys only one idea and can be assigned a truth value Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Disjunction: True when either or both are true If p is true, then ~p is false If p is false, then ~ is true Set - =Answer>> A collection of objects. Elements - =Answer>> The objects or members of a set. Natural/Counting Numbers - =Answer>> {1,2,3,4...} Whole Numbers - =Answer>> {0,1,2,3,4...} Includes zero. Intergers - =Answer>> {...,-3.-2,-1,0,1,2,3,...} All numbers including positive, negative and zero. Rational Numbers - =Answer>> May be written as a terminating decimal (0.25) or a repeating decimal (0.333...) Irrational Numbers - =Answer>> Decimal representations never terminate and never repeat like pi (3.14...) Real Numbers - =Answer>> Can be expressed as a decimal. Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Cardinal Number - =Answer>> The number of elements in a set. Finite Set - =Answer>> If the cardinal number of a set is a particular whole number. Infinite Set - =Answer>> Whenever a set is so large that it's cardinal number is not found among the whole numbers. Equal Set - =Answer>> -The sets contain identical elements. -Every element of set A is an element of set B and every element of set B is an element of set A. Equivalent Sets - =Answer>> Contain the same # of elements, but not necessarily the same elements. Universal Set - =Answer>> The set of all possible elements from which subsets are formed. Universal Set - =Answer>> The set of all possible elements from which subsets are formed. Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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