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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 with
Correct Answers | 100% Pass Guaranteed |
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Read All Instructions Carefully and Answer All the Questions Correctly Good Luck: Set - =Answer>> Any collection or group of objects Element - =Answer>> individual object in a set description of a set - =Answer>> B is a set of natural numbers greater than 4 roster form - =Answer>> B=(5,6,7...) set builder notation - =Answer>> B=(xIxEN and x>4) B=(x is the set of all x such that E...) equal sets - =Answer>> if and only if they contain identical elements in any order cardinal number - =Answer>> n(A) number of elements in set Set - =Answer>> Collection or group of objects (ex: favorite color) Well-defined set - =Answer>> Constant set (ex: multiples of 3) Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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n(A) - =Answer>> Number of elements in A (cardinal number of A) IMPORTANT FORMULA #1 - =Answer>> n(A∪B) = n(A) + n(B) - n(A∩B) How many components in a simple statement? - =Answer>> 1 How many components in a compound statement? - =Answer>> More than 1 ∧ - =Answer>> conjunction: and, but ∨ - =Answer>> disjunction: or ~ - =Answer>> not, it is not the case that ~(p∧q) - =Answer>> ~p ∨ ~q ~(p∨q) - =Answer>> ~p ∧ ~q Negation of "all" - =Answer>> Some are not Negation of "never/none" - =Answer>> Some are What number do counting numbers not include? - =Answer>> 0 List the components of the compound statement: 9 + 8 ≥ 16 - =Answer>> 9 + 8 = 16 9 + 8 > 16 Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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⊂ - =Answer>> proper subset ⊆ - =Answer>> subset A⊆A - =Answer>> Any set is a subset of itself A⊄A - =Answer>> A proper subset of A is any subset strictly smaller than A ∅⊂A - =Answer>> The empty set is a subset (and proper subset) of any set A equivalent sets - =Answer>> if and only if they have the same cardinal number empty set - =Answer>> no elements universal set - =Answer>> contains all the elements subset - =Answer>> sideways u with underline proper subset - =Answer>> sideways u without underline Demorgans laws for sets - =Answer>> (AUB)'=A' and B' (A and B)'=A'UB' complement - =Answer>> opposite of the set intersection - =Answer>> and, what is in both union - =Answer>> or, everything in the sets Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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negation does what - =Answer>> change the true value negation with qualifiers - =Answer>> how many all some more at least one possibly all negation to "all are" - =Answer>> some are not negation to "none are" - =Answer>> some are conjunction truth table cheat - =Answer>> only true if both true disjunction truth table cheat - =Answer>> only false if both false conditional truth table cheat - =Answer>> always true unless TF in that order biconditional truth table cheat - =Answer>> only true if TT or FF equivalent statements - =Answer>> if and only if both statements have same final values for truth table demorgans laws for statements - =Answer>> -(p or q)<---
-p and -q -(p and q)<--->-p or -q converse - =Answer>> q-->p Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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inverse - =Answer>> -p-->-q contrapositive - =Answer>> -q-->-p equivalent statement to conditional - =Answer>> contrapositive equivalent statement to converse - =Answer>> inverse parts of a symbolic argument - =Answer>> premise and conclusion how is an argument valid? - =Answer>> if and only if the conclusion is the only conclusion that logically follows assume premise is true testing the validity of and argument - =Answer>> write in symbolic form write as compound statement and do truth table not valid unless tautology Law of detachment - =Answer>> P--->q p
q Law of contrapostion - =Answer>> P--->q -q
-p Law of Syllogism - =Answer>> P--->q q--->r
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divisible by 6 if - =Answer>> the number is divisible by 2 or 3 divisible by 8 if - =Answer>> last 3 digits are divisible by 8 divisible by 9 if - =Answer>> sum of digits is divisible by 9 divisible by 10 if - =Answer>> last digit is 0 prime numbers - =Answer>> natural numbers that have two positive factors, itself and 1 composite numbers - =Answer>> natural numbers that have at least one number besides itself and 1 minimun number of factors that must be checked to see if a number is prime - =Answer>> p^2>n prime factorization - =Answer>> branching or separated by bars gcd methods - =Answer>> list factors prime factorization euclidian algorithm(long division) lcm methods - =Answer>> list multiples prime factorization theorem gcd(a,b)xlcm(a,b)=axb rational numbers - =Answer>> numbers that can be expressed as a quotient of two integers Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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finding fraction of repeating decimal steps - =Answer>> 1. let n=.6 repeating 2.get decimal to left of bar 3.multiply both sides by 10 4.subtract 2 from 3 denseness property - =Answer>> a set is dense if and only if between two numbers there exists a third number always pathagorean theorem - =Answer>> a^2+b^2=c^ irrational numbers - =Answer>> real number who's decimal is not nonterminating and non repeating product rule for radicals - =Answer>> square root of a and b equals the square root of a times square root of b division rule for radicals - =Answer>> square root of a and b equals the square root of a divided by the square root of b mixed number to improper fraction - =Answer>> take big number and multiply by denominator and then add the numerator 5 1/4= 21/ improper fraction to mixed number - =Answer>> do long division whole number is big number and remainder is numerator over the original denominator 7/4=1 3/ Need Writing 🤔Help? We've Got You Covered! ✍ 100% NO A I or Plagiarism Guaranteed🤔
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