Counting the Number of Elements in an Intersection A professor in a discrete mathematics class passes out a form asking students to check all the mathematics and computer science courses they have recently taken. The finding is that out of a total of 50 students in the class, 30 took precalculus; 18 took calculus; 16 took both precalculus and Java; 8 took both calculus and Java; 47 took at least one of the three courses. 26 took Java; 9 took both precalculus and calculus; (a) How many students took all the three courses? (b) How many students took precalculus and calculus but not Java? 2/8

Q: Given, A={0,1}, B=null set C= {2,3} Find A xB, A X C, A u B, A\B, A\c, AX C, B intersection C and…

A: our objective is to find the solution.

Q: 2. Consider the following statement: "if A, B are two non-empty sets, each one having a minimum,…

A: Let, mA = min {x : x ∈ A}        mB = min {x : x ∈ B}   Now, let m = min{mA , mB} Then, m = mA if mA…

Q: h --0-8-0 = and a3 = -4 -3 The set {a₁, a2, a3} will span R³ unless h Let a₁ = -127 4 -17 -3

A: Given:

Q: Select the correct answer: O a. Both Statement X and Statement Y are correct. O b. Statement X is…

A: Given : The above statement X about ordinal variable is correct. An ordinary variable is the one…

Q: For two sets, X and Y , if  X ∩ Y = ∅ , then which of the following is true? Choose one answer and…

A: Given that For two sets, X and Y, X∩Y=∅ To find which of the following statement is true:

Q: Find a formula for the function graphed. 2) -8-6-4-2 2 4 6 8 x

A: This is a graph of a piece wise function.see below the equation of function

Q: Problem 1 Let A and B be any given sets. Use set builder notation and logical equivalences to show…

A:

Q: Ve V3 V. Vs Ox waiten as VaNeV oY Cycle not cinuit - Neithen uyle mi cicuit-

A: Circuit :- Traversing a graph such that not an edge is repeated but vertex can be repeated and it is…

Q: Please do not give solution in image formate thanku.  Items coming off an assembly line are…

A: The pairs of decisions made by the two inspectors on each item are dependent, not independent.To…

Q: Create a Venn diagram to show the hierarchy of triangles, quadrilaterals, isosceles triangles, and…

A: To be constructed : Venn diagram to show the hierarchy of triangles, quadrilaterals, isosceles…

Q: 7) |m - 10| ≤ 19 什 -10 + -5 0 5 + 10 15 + 20 25 30 8) n-4 <5 -3 -2 -1 0 1 + 2 3 4 5 6 7 8 9 10 11

A:

Q: Choose the letter of the correct answer. If U is a nonempty open set of real numbers and Q is the…

A:

Q: 2.) Describe the following sets using the two methods of writing set. a) The set of integer greater…

A:

Q: MODULE 2. ASSESSMENT I. Express each of the given sentences using set notations or functions. 1. Set…

A:

Q: Given set A = {1, 2, 3, 4, 5, 6, 7, 8, 9) and set B = {1,4, 9, 16, 25), what is AUB? Review the…

A:

Q: If the light is off 17 plack socks and 17 white socks if the light is off and Matt reaches into the…

A: If he pulls 2 socks, then he might get one black sock and one white sock. So, n≠2

Q: 1. You are given the sets S = [-16, 8] and T = set. It is represented by the number line. (1, 15).…

A:

Q: Prove or disprove: If A, B, and C are sets, then A × (B − C) = (A × B) – (A × C).

A:

Q: Consider all 5 letter "words" made from the letters a through h. (Recall, words are just strings of…

A: Since you have posted a question with multiple subparts, we will solve only the first three subparts…

Q: Let A, B and C be sets. It is given that AUC= BUC and AnC= BnC. Shơw that A = B.

A:

Q: Find the cardinal numbers of the sets in the given pair to determine whether the sets are…

A: n(T) and n(P) represents the number of elements in the sets T and P respectively. Obtain the values…

Q: 3. Given X = {x|x-2}, and Z = {x|x< -3}, write the union or intersection in set-builder notation. а.…

A: Given that, X=x| x&lt;7, Y=x| x≥-2 and Z=x| x&lt;-3 Since,  Set X represents all real numbers less…

Q: -7 -6 -5 10 1 2 3. 4. 5 6 7 Pick the correct inequality. A) x-6 B) x2-6 D) x<-6

A:

Q: Venn diagram for the set of English words starting with "t" Similarly, we represent the set END-z of…

A:

Q: (6B) 2. x5 5 a. -10-8 -2 0 2 4 6 8 10 b. + -10 -8 6 4 2 0 2. 8 10 с. + 8 10 -10 8 2. 4 6 -10 -8 -6 4…

A: (6B) The inequality represents the values less than 5 including 5.

Q: Let A,B,C be sets with |A| = 40, |B| = 78, and |C| = 141. Draw a Venn Diagram to represent each of…

A: Given that ,                 |A|=40,|B|=78 and |C|=141 (a)Since ,A⊆B⊆C therefore |B-A|=78-40=38 and…

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: Let: = {FORTRAN, PASCAL, ADA, COBOL, LISP, BASIC,C, JAVA} = {C, BASIC, ADA} - C = {PASCAL, LISP,C,…

A: Solution: Let:   U = {FORTRAN, PASCAL, ADA, COBOL, LISP, BASIC, C, JAVA}   ▪ B = {C, BASIC, ADA}   ▪…

Q: Indiana's favourite set is A= {r² +1: z€ Z, –35a51}, and Marcus's favourite set is just B=…

A: Consider: A=x2+1: x∈Z, -3≤x≤1 and B=3, 4, 5, 6, 7, 8. Substiute x=-3, -2, -1 , 0 ,1 into x2+1 and…

Q: 2. Find all integer solutions for the following (express the set of solutions using set-builder…

A:

Q: Choose a real world example that makes use of a Venn diagram that involves at least three sets.…

A: