A. Determine with explanation whether given collection is well-defined or not. 1 .Collection of universities in the Philippines

B. Do the following:

1. Name three subsets of whole numbers using the two methods of writing sets.

2. List all the possible subsets of set G={M, A,T, H}

3. Write the cardinality of each set formed in items one (1) and two(2)

C. List the elements belonging to the indicated set .Use the roster method and set builder notation.
1. Set of even numbers less than 20

2. Set of factors of 16.

D. Which of the sets containing the following elements are finite?Which are infinite?If it is finite ,give its cardinality.

1.the days in a week
2. The counting numbers greater than 30
3. The letters in the English alphabet
4. The stars in the sky

E. Do the following:

1.Name three subsets of letters in the English alphabet using roster method and set builder notation.

a.
b.
c.

2.List all the possible subset of set H=(4,3,6,5)

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.