2. **Write each set using the roster method and find its cardinality.** a. \( C = \{ x \mid x \text{ is an even number and } 15 \leq x \leq 29 \} \) b. \( X = \{ a \mid a \in \mathbb{Z}, a \text{ is even, and } |a| \leq 6 \} \)

Q: Express the following sets in the simplest way possible. If needed, use 'set builder notations'. Do…

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Q: 1. A = {2,5 – 7} and B = {a, k, u, j}. What is A x B? 2. U = {11, 22, 33, 44, 55}. V = {1, 2, 3, 4}.…

A: As per guidelines, I can answer only one question.

Q: Let: A = {2, 4, 8} B= {1,2,3} C = {0, 1} What is the cardinality of: A x Bx C

A: The given sets areA={2, 4,8} ,B = {1,2,3} ,C = {0, 1}

Q: Please answer a, c & h

A: The given sets are as follows. U=N=1,1,3,4,…A=x∈N| x≥7=7,8,9,…B=x∈N|x is odd=1,3,5,7,9,…C=x∈N|x is a…

Q: (4) Q= {all rational numbers}. Cardinality = finite infinite denumerable countable uncountable (5)…

A: Remark: The number of elements in a set S is called the cardinality of S.

Q: Question 3. Show that the following pairs of sets have the same cardinality. (1) Integers divisible…

A: Advance maths

Q: A n(A) = 5 3 C 4 X 0³ 6 1 14 9 7 B 5

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 5}.  (Enter your answers as a…

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Q: Q17D. Define the sets A, B, C, and D as shown. Find (An C) U (B n D). A C C

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A: We Know that,  If U is a universal set and A be any subset of U then the complement of A is the set…

Q: Write each of the following sets by listing its elements between braces and then find its…

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Q: Graph the set {x -3<x<2} on the number line. Then, write the set using interval notation.

A: Given, Graph the set {x|-3≤x≤2}

Q: A 8 C 9 n (An Bc) = [ 8 3 5 6 13 B 8 9

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Q: applied discret mathes  if |A| = 3, |B| = 2, Then what is the cardinality of the power set of A x B

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Q: 3. The cardinality of relation R can be: one-to-one, one-to-many, many-to-one, and many-to- many.…

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Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: 5. Let the universal set be R, the set of all real numbers, and let A = {x € R| – 4 <x< 1},B = {x €…

A: Given the universal set as ℝ, the set of all real numbers. Let A={x∈ℝ| -4≤x&lt;1}, B={x∈ℝ|…

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A: Here using venn diagram we have to findn(A∩ B ∩ Cc) .

Q: Use the Venn diagram shown to list the set ANBNCin roster form. ANBNC=} (Use a comma to separate…

A: We have given the venn diagram of three events