Answer the questions with Yes or No, and then explain why yes or why not. Justify your answer. Does the equality |A u B|=|A|+|B| hold for every set A ??? B Is it true that (A−B)−C=A−(B−C) for some sets A, B and C

Q: If A and B are mutually exclusive (A ∩ B = ∅), are A and B always independent? If the answer is no,…

A: The two events are said to be mutually exclusive, if the two events do not occur together. The two…

Q: What can you say about the sets A and B if we know that A (symmetric difference) B =A ? Prove your…

A: Given  A△B=A A∆B=(A∪B)-(A∩B)

Q: Vhich of the following sets is a null set ? I. X {x | x= 9, 2x = 4 } II. Y {x | x= 2x, x #0 } III.…

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Q: O Consider the following proposition P(a, b, c) in the variables a, b, c E R\{0}: 1 1 1 Р(а, b, с) :…

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Q: 12. Jerry earns a base salary of $350 per week plus an 8% commission on all sales at his job. Which…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: Exercise 1: Express an inequality statement that relates HI and 1. 19° G I 26°

A:

Q: Determine whether each ordered pair is a solution to the inequality −5x+2y<0     (8,−10) (0,−5)…

A: • We can check whether an ordered pair satisfies the given inequality by substituting the values of…

Q: 3.4 Are X and Y independent (Yes/No)? Justify your answer.

A: X and Y are independent iff f(X,Y)=f(X)f(Y)  Note: According to Bartleby guidelines expert solve…

Q: Let S = {-5, -1, 0,, 1, V5, 3, 5}. Determine which elements of S satisfy the inequality. 9. 2 VI

A: We have to determine the elements of S satisfied he inequality.  the given inequality is 1x≤12

Q: Answer the following questions about the given sets. a. Are the sets equivalent? Explain. b. Are the…

A: Answer the following questions about the given sets.aAre the sets equivalent? explainbAre the sets…

Q: Fill in the blanks in the following sentence: If A and B are any sets, then by definition of set…

A:

Q: 4. True or False. Determine whether the given pairs of sets are equal. a. A = {2n + 1|n e W} ; B =…

A: We will write the given sets in roster form then by comparing both sets we will determine if they…

Q: For Exercise, write the set as a single interval. [(-0, 6) U (10, o)] N [8, 12)

A: We will draw them on a number line. Draw:

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A:

Q: P= { January, February, March} Q= {June, July, August, September} a) Yes or no: Are the sets P and Q…

A: a )   We know that two sets are equal if the sets.  have the equal cardinality and all equal…

Q: If ACB and BC A then A= B I F If A= B then Ax B= B× A. I F For any set A, fo(Ax B) = gɔ(A)× p(B) T F

A: Given, If A⊆B and B⊆A then A=B A is the subset of B and B is the subset of A, then elements…

Q: Step Justification -(-v) + (-v) = 0 and v + (-v) = 0 --Select-- -(-v) + (-v) = v + (-v) transitive…

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Q: Let A and B sets be piven. Stow +that, A- (BA A) = B-A°

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Q: Use the laws of set theory to solve both items! (AnB)U[Bn(CnD)U(cn)| А. AO(B A) | В.

A: (A)  (A∩B)∪[B∩((C∩D)∪(C∩D¯))] as (C∩D)∪(C∩D¯)  =((C∩D)∪C)∩((C∩D)∪D¯) ( by using De-morgan's…

Q: the A= {1,2,3} is equal to the set {x: (x - 3)(x2 - 3x + 2) = 0} True O False

A:

Q: 3. True or False. Determine whether the given pairs of sets are equal. a. A = {2n + 1|n E W} ; B =…

A:

Q: Determine whether A = B, ACB, BCA, ACB, BCA, or if none of these applies. A= {x |x is a sport that…

A: Que. A = {x1 x is a Sport that uses a ball}   B = {basketball, tennis, racquetball, baseball}…

Q: Đ A is a closed set.

A: Here we use the result intersection of two closed set is closed.

Q: Determine the values of r that satisfy the following inequality. 2|r + 4> 16 YES NO A)r=-15 B)r=4.…

A:

Q: The set builder form of {-1,0,6} i . none of the choices O {x : x € R and a is a solution of x + 5x?…

A: The given set is -1, 0, 6. All the options has polynomial. So, the polynomial with roots -1, 0 and 6…

Q: Determine if each statement is true or false. 1. If A not equal to B then A ∩ B = empty set. 2. If…

A: we will be using basic set theory to answer these questions

Q: 3.) Determine whether the given statement is always true, sometimes true, never true, or if you need…

A: topic - statement

Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

A:

Q: In an inter-barangay basketball league, the team from Hermana Fausta has won 12 out of 25 games, a…

A: Let n = number of wins  and p = number of games played  Winning percentage =np x 100%

Q: Which ordered pairs are solutions to the inequality -2x + 3y > 3? Choose all that apply: O (0,1)…

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Q: Express the statement as an inequality. (a) x is negative. x > 0 x 0 y ≤ 0 y π q ≤ π

A:

Q: Part 2: Proof that (A n C) – BC (A – B)n (C – B) Consider the sentences in the following scrambled…

A:

Q: Which of the following sets are well-ordered? Justify your answers. (a) A = {r € Q :1> -5} (b) A =…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: a) Let A, B, U and V be any sets such that A C U and B CV. Is (A x B) C (U x V)? Justify your…

A: Given thatA⊆Uand B⊆VIs A × B = U×V  ans TRUE

Q: Which is the solution set of the inequality x -4 > 7? O {x € R/x 11} O {x € R/x ≥ 11}

A:

Q: ow diagram shows the association "is less than" from a set of numbers to a set of numbers? is less…

A:

Q: Express the statement as an inequality. The negative of z is not greater than 3.

A: According to given statement if negative of z is not greater than 3 then  (-z)≤3-z≤3z≥-3

Q: Tell if the statements are true or false. Let  p: 5 + 4 = 9; q: 13 − 5 = 8.   (a)     ~p ∨ q -True…

A:

Q: Find AnB, the intersection of sets A and B. A={x: x is a natural number less than 4} B = {3, 4, 5,…

A: Intersection of sets: It is the set of all those elements of the sets A and B which belong to both…

Q: Fill in the blanks in the sentence below so that the resulting statement is true. ..... The ordered…

A:

Q: Answer the following questions about the given sets. Are the sets equivalent? Explain. a. b. Are the…

A: Equal Sets :  Two sets A and B can be equal only if each element of set A is also the element of the…

Q: Exercise 3:a Express an inequality statement that relates mz1 and m2. В 6 D A, 18 12, 18

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Q: Which values of x makes the inequality true? 2 (z – 4) – 9z 1} O {z: z>-7} O {z: z< 1} O {z: z< -7}

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Q: write a word description of the set {1,3,5,7,9} The set of _________ less than ________.

A: Set of natural numbers is infinite set which includes all the positive integers which starts from 1…

Q: Decide if the given statement is true or false. If it is false, give the reason. Ø={} Choose the…

A: The empty set is the unique set having no elements; its size or cardinality (count of elements in a…

Q: Which inequality is represented by the numbe 十十+ -5 -4 -3 -2 -1 0 1 3 4 5 O A. X 1 O C. x > 1 O D.…

A:

Q: 3. Are the following sets equal? A = {x € Z:5 < x < 10} and B = {9,8,7,6}, where Z denotes the set…

A: Given,           A = x ∈ Z: 5≤ x &lt;10 and B = 9, 8, 7, 6

Q: Give an example of each of the following: (a) a set which is a nbd. of each of its points, (b) a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.