Q1\ Use the Venn diagram to find the requested sets. 1-4N B' 2) B-C' 20 15 3- A- (B'U C) 10

Q: How many subsets of the set {1,2,3,4,5,6,7,8} have cardinality 3 or less?

A: Here we need to find how many subsets of the set A={1, 2,3,4,5,6,7,8} have cardinality 3 or less so…

Q: How many different ways can the letters of ​"attract​" be​ arranged?The number of different ways…

A: Fromula used:If there are n different objects in the system then the number of different ways of…

Q: Find the smallest number of colors that can be used to color the map. So that any to state sharing a…

A:

Q: In a high school, 50 students are surveyed and asked about the interest of the student. 23 students…

A: Given: In a high school, 50 students are surveyed and asked about the interest of the student. 23…

Q: Important note: The product of two even signals or of two odd signals is an even signal and that the…

A: The detailed solution of the problem is given in the next step.

Q: the book is "First Course on Fuzzy Theory and Applications"

A: The formula to compute the membership fuctions is as follows.

Q: Let à = (-5, 4, Find the projection proja b =< 4) and b = (-4, 0, -1). of b onto a. -

A:

Q: Let A = (4, –4,4, 0) and B = (-4,3, –4, 1) be points in R*

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

Q: Write down the non-empty proper subset of the set {a,b,c}. Make sure to use correct notation…

A:

Q: Let A= {1,2,3,4,5,6} and B={2,4,6,8}. what is the cardinality of A ∩ b?

A: Cardinality of a intersection

Q: If a set A has 63 proper subsets, what is |A|? *

A: Solution...

Q: Construct a Venn diagram U={1, 2, 3, 4, 5, 6, 7, 8, 9} X= {1, 2, 7, 8} Y = {1, 4, 6, 7} Z= {2,5, 6,…

A: Given :U={1,2,3,4,5,6,7,8,9}X={1,2,7,8}Y={1,4,6,7}Z={2,5,6,7}

Q: Determine whether the points are coplanar.(1, −5, 9), (−1, −5, 9), (1, −5, −9), (−1, −5, −9)

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Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

A:

Q: Which sets are compact? The union of [0, 1] and [2, 3]

A: Concepts introduction: Theorem (Heine-Borel Theorem): A subset S of R is compact if and only if S is…

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can…

A: Let us assume that: Pi=The point assigned to the ith question.   Given that:  Each question must…

Q: 4) Using equality of sets, prove that (An B)' = A' U B'

A: we know thatA∪B=x: x∈A or x∈BA∩B=x: x∈A or x∈BA'=x:x∈U, x∉A=U \ AWhere U is a universal set.That is…

Q: 2. From the set of relation {(1,1), (1,2), (1,4), (2,1), (2,2), (2,4), (3,3), (4,3), (4,4)}, draw…

A: As per our guideline we are allowed to answer only one question. Kindly submit the other question as…

Q: A signal can be formed by running different colored flags up a pole, one above the other. Find the…

A: 3 white flags 2 red flags 1 blue flag

Q: Use the method of intersection of sets to compute the following. (a) GCD(12,16,8) and LCM(12,16,8)…

A:

Q: The cartesian product of nonempty family of nonempty sets is nonempty صواب ihi

A: The cartesian product of nonempty family of nonempty sets is nonempty

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: poundedness and the closedness are not opological properties because * O Ris homeomorphic to ]-00,…

A: A property of a topological space is called a homeomorphic property if it remains invariant under…

Q: In the class of 50 students, 24 like Arabic, 21 like English and 18 like Mathematics 6 like Arabic…

A:

Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

Q: Prove that [0,1] has the same cardinal number as [0,2] U[7,9].

A:

Q: Let a, m be real numbers. Applying Triangle inequality (m, 0,1,2) and to u = = (a,-1,-1,0), we get

A: Given that       u = (m,0,1,2) and v = (a,-1,-1,0)

Q: Let A, B, C be points in 3-space. Suppose that AB represents u and BC represents v. Then AC…

A: Given statement is true.   Because it is following triangle rule of vector addition.   According to…

Q: How

A:

Q: Suppose you have 6 black and 9 white t-shirts and you dont want to put black ones on top of another…

A: Given: There are 6 black and 9 white t-shirts. Also, you don't want to put black ones on top of…

Q: The symbol Ø refers to the empty set. What is the cardinal number of the empty set?

A:

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

Q: Assume that there are 2 pairs of black socks (çorap),3 pair of pink socks, and 5 pairs of blue socks…

A:

Q: Suppose there are balls of 6 different colors, i.e., Red, Blue, Green, Yellow, Black, and Brown, in…

A: given total number of color of balls =6 also, there are exactly 25 indistinguishable balls of each…

Q: There are 6 towns {A, B, C, D, E, F} with the following one way street relation {(A, B), (A, C), (B,…

A:

Q: What is P - Q and Q - P when we let P = {11, 13, 15, 17, 19} and Q = {11, 12, 13,}? Show the Venn…

A: Consider the provided information, P=11,13,15,17,19  and Q=11,12,13 Find the P-Q and Q-P and sketch…

Q: Each of the 20 students learn exactly two of the three languages: English, French and German. 80% of…

A: Total number of students= 20 Number of students learn English= 80% of 20 = (80÷100)*20= 16 Number of…

Q: Suppose you have 6 black and 9 white t-shirts and you dont want to put black ones on top of another…

A:

Q: What is the cardinality of the set {1,2,3,4,3} ?

A:

Q: A math tutor working with a small study group has classified students in the group by whether or not…

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Q: 3. Show that if A and B sets then A – B = ANB (Note that: Using Venn Diagram is not accepted!)

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Q: Let S={1,2,3,4,5,6} How many subsets are there of cardinality 4?

A:

Q: 2. Let U = {a, b, c, d, e, f, g, h} be the universal set, and let A = {b, c, d, f, g}, B = {a, b,…

A:

Q: {r, e, v, o, I, u, t, i, o, n}_ _{t, o, I, o, v, e, r, u, i, n} {r, e, v, o, I, u, t, i, o, n} V {t,…

A: Here use definition of proper subset

Q: State the cardinality of -1,-2, 3,6,7, 12

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Q: Suppose you have 6 black and 9 white t-shirts and you dont want to put black ones on top of another…

A:

Q: Suppose u = (5, -4, 4). Then (2, 5, 4) makes ? with u (-8,0, 10) makes ? v with u (1,5, –5) makes ?…

A: I have appended the formula used in the solution part