We are given several math problems in the image. Let's solve number 3: $A = (3, 4)$, $B = (1, 2, 3)$, what is $B \setminus A$?

Discrete MathematicsSet TheorySet DifferenceSet Operations
2025/4/19

1. Problem Description

We are given several math problems in the image. Let's solve number 3: A=(3,4)A = (3, 4), B=(1,2,3)B = (1, 2, 3), what is BAB \setminus A?

2. Solution Steps

The set BAB \setminus A contains all elements that are in BB but not in AA.
A={3,4}A = \{3, 4\} and B={1,2,3}B = \{1, 2, 3\}.
The elements in BB are 1,2,31, 2, 3.
The elements in AA are 3,43, 4.
The common element in AA and BB is 33.
Therefore, BA={1,2,3}{3,4}={1,2}B \setminus A = \{1, 2, 3\} \setminus \{3, 4\} = \{1, 2\}.

3. Final Answer

{1,2}\{1, 2\}

Related problems in "Discrete Mathematics"

The problem has two parts. Part (a) presents criteria for selecting school prefects based on student...

AlgorithmsPseudo-codeFlowchartsLogicConditional Statements
2025/6/29

The image contains multiple questions related to ICT. I will answer questions (iii), (iv), (v) and (...

Number Base ConversionBoolean AlgebraLogic Circuits
2025/6/29

We have four questions to answer based on the provided image: * Question 37: Find the index of the...

ArraysAlgorithmsExponentsPascal ProgrammingBitwise OperationsCombinatorics
2025/6/29

We are given a flowchart and two questions related to it. Question 35 asks for the output of the flo...

AlgorithmsFlowchartsIterationLoopsSequences
2025/6/29

We need to answer multiple-choice questions related to computer architecture, networking, number sys...

Number SystemsBinaryHexadecimalBCDLogic GatesASCIIBoolean Algebra
2025/6/29

The image presents a number sequence: 1, 5, 14, 30, 55, ... and asks to find the next number in the ...

Number SequencesPattern RecognitionSeries
2025/6/26

In a class of 23 students, 7 study Math, 8 study English, and 5 study Science. It is implied that ev...

Set TheoryPrinciple of Inclusion-ExclusionVenn DiagramsCombinatorics
2025/6/22

The image contains handwritten text: "7w Sm" and "4 member commit". It seems the problem wants us to...

CombinatoricsCombinationsFactorials
2025/6/18

We are asked to find the number of 3-digit integers greater than 430 that can be formed using the di...

CountingCombinatoricsPermutations3-digit integersDigit restrictions
2025/6/18

A company manager wants to form a committee. There are 12 staff members. He wants to choose the memb...

CombinatoricsSubsetsCommittee FormationCounting
2025/6/17