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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 Test 1 Math for Liberal
Arts Review Questions with Correct
Answers | 100% Pass Guaranteed | Graded
A+ |
Read All Instructions Carefully and Answer All the Questions Correctly Good Luck: A ∪ B1 - =Answer>> Union: in A or B (or both) A ∩ B - =Answer>> Intersection: in both A and B A ⊆ B - =Answer>> Subset: A has some (or all) elements of B A ⊂ B - =Answer>> Proper Subset: A has some elements of B A ⊄ B - =Answer>> Not a Subset: A is not a subset of B A ⊇ B - =Answer>> Superset: A has same elements as B, or more A ⊃ B - =Answer>> Proper Superset: A has B's elements and more Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Even Naural Numbers: E={2,4,6,8,...} Odd Natural Numbers: O={1,3,5,7,...} Integers: I/Z={...,-3,-2,-1,0,1,2,3,...} ∈ - =Answer>> used to show that an object is a member of a set ∉ - =Answer>> used to show that an object is NOT a member of a set Empty/Null set - =Answer>> {} OR ∅ Equal set - =Answer>> Same exact elements Equivalent set - =Answer>> Same number of elements One-to-one Correspondence - =Answer>> {1,2,3,4}={a,b,c,d} {x,y}≠{1,2,3} Subsets - =Answer>> ⊆ Every set is a subset of itself Null is always a subset formula 2^n Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Proper Subsets - =Answer>> ⊂ Set is NOT a subset of itself 2^n- Intersection - =Answer>> symbolized by ∩ Elements the sets have in common Disjoint sets - =Answer>> intersection is empty Union - =Answer>> symbolized by ∪ All the elements included in the sets Cartesian product - =Answer>> symbolized by x write all possible ordered pairs De Morgan's laws for sets - =Answer>> For any two sets A and B: (A∪B)'=A'∩B' (A∩B)'=A'∪B' Cardinality of a union - =Answer>> n(A∪B)=n(A)+n(B)- n(A∩B) Connectives - =Answer>> Conjunction - "and" Disjunction - "or" Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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→ - =Answer>> only FALSE if 1st is true & 2nd is false ↔ - =Answer>> only TRUE if both are true ORRR both are false Hierarchy of connectives - =Answer>> 1. Negation
- Conjunction/Disjunction
- Conditional
- Biconditional Tautology - =Answer>> when a compound statement is ALWAYS true Self-contradiction - =Answer>> when a compound statement is ALWAYS false Logically equivallent - =Answer>> only if they have the same truth table values ≡ De Morgan's laws for logic - =Answer>> For p and q: ~(p∨q)≡~p∧~q ~(p∧q)≡~p∨~q Variations of the conditional - =Answer>> Original: p→q Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Converse: q→p Inverse: ~p→~q Contrapositive: ~q→~p Negation - =Answer>> Opposite of the statement Compound Statement - =Answer>> Two or more statements combined; and, or, not, and if... then (connectives) Statement - =Answer>> A declarative sentence that is either true or false, but not both simultaneously Connective: ^ - =Answer>> And + Conjunction Connective: ~ - =Answer>> Not + Negation Connective: ˅ - =Answer>> Or + Disjunction Negation of Statement "All Do" - =Answer>> "Some Do Not" Negation of Statement "Some Do Not" - =Answer>> "All Do" Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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- ~(p˅q) ≡ ~p^~q Conditional Rule - =Answer>> It's only false when truth implies false p --> q Negation of Conditional Rule - =Answer>> 1. ~(p --> q) ≡ p ^ ~q
- p --> q ≡ ~p ˅ q Converse - =Answer>> Flip the conditional statement q --> p Inverse - =Answer>> Negation of the conditional statement ~p --> ~q Contrapositive - =Answer>> Converse and inverse the conditional statement ~q --> ~p Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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Common Translations Of p --> q - =Answer>> 1. If p, then q
- If p, q
- p implies q
- p only if q
- p is sufficient for q
- q is necessary for p
- All p are q
- q if p Proper Subsets - =Answer>> 2^(n) - Subsets - =Answer>> 2^(n) A command is not a statement neither is an opinion. - =Answer>> Complement - =Answer>> 90 Supplement - =Answer>> 180 Obtuse Triangle - =Answer>> Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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