Vocational scenario: 1. Using set notation, implement two algebraic expressions that describe the employees who are working in Floor 1 and who are working in Floor 2 using the three original sets M,F and H, and reduce the expressions to their - Human resources department simplest form - Financial Department - Management Department Given three multisets, X,Y, and Z as follows: Assume that a set of employees in the Financial department is F, a set of employees in the Human resources department is H, and a set of employees in the Management department is M. An employee can be working in two departments at the same time under specific conditions and based on the CEO's approval. You distributed the employees on two floors based on the following rules: - You asked the employees who are working in the Financial and Human X=[a:2,c:1,e:5] Y=[a:8,b:9,c:9,d:2] Z=[b:5,c:8,d:1] 2. What are the resulting multisets of the following operations, and estimate their cardinality? Resources Department to work in Floor 1. - You asked the employees who are not working in the Financial department to - (XZ)+Y work in Floor 1. - (XY)Z - (XY)(Z+X) - You asked the employees who are working in the Management and Human resources department to work in Floor 2. A function f is defined as: - You asked the employees who are working in the Management but not in the f:RR,f(x)=5x31 human resources department to work in Floor 2. 3. Estimate a function (let us say g ) that can give us x if we know its image (f(x) is knownly and find it. 4. Put together in a logical way, that the following expression is equal to the universal set (U) by using set identities: (A(AB))B Vocational scenario: 1. Using set notation, implement two algebraic expressions that describe the employees who are working in Floor 1 and who are working in Floor 2 using the three original sets M,F and H, and reduce the expressions to their - Human resources department simplest form - Financial Department - Management Department Given three multisets, X,Y, and Z as follows: Assume that a set of employees in the Financial department is F, a set of employees in the Human resources department is H, and a set of employees in the Management department is M. An employee can be working in two departments at the same time under specific conditions and based on the CEO's approval. You distributed the employees on two floors based on the following rules: - You asked the employees who are working in the Financial and Human X=[a:2,c:1,e:5] Y=[a:8,b:9,c:9,d:2] Z=[b:5,c:8,d:1] 2. What are the resulting multisets of the following operations, and estimate their cardinality? Resources Department to work in Floor 1. - You asked the employees who are not working in the Financial department to - (XZ)+Y work in Floor 1. - (XY)Z - (XY)(Z+X) - You asked the employees who are working in the Management and Human resources department to work in Floor 2. A function f is defined as: - You asked the employees who are working in the Management but not in the f:RR,f(x)=5x31 human resources department to work in Floor 2. 3. Estimate a function (let us say g ) that can give us x if we know its image (f(x) is knownly and find it. 4. Put together in a logical way, that the following expression is equal to the universal set (U) by using set identities: (A(AB))B
