hello can you help me answer this four basic concepts:sets?

can you also show solution on each number?

can you also explain on how did you get it?

im really having a hard time i cant get the correct answer in here please help me please.

SUBJECT: Mathematics in the Modern World

Learning Activity 2.2 1. Tell whether the following is true or false: 1. Empty set is also called a unit set. 2. { } is an empty set. 3. A set with two elements has 2 subsets. 4. Equivalent set is also an equal set. 5. Counting number is an example of a finite set. 2. List down all the subsets of a set A = { a, b, c, d }. 3. If A = {1,2,3} and B={i,o,u}, find A x B. 4. Find x and y if (x - y, x + y) = (6, 10)Learning Activity 2.2 (cont.) 5. Let U = { {0,1,2,3,4,5,6,7,8,9}; A = {1, 3, 5, 7), B = {2, 4, 6, 8} and C = {3, 6, 9, 0}. Find the following: a) AUB b) BOC c)A'nB' d) (AUB)' 6. A group of students were asked whether they are like basketball, softball, or both. If 456 like basketball, 384 like softball, and 252 like both games, how many students were there? 7. A survey of 100 fourth year high school students revealed that 42 like mathematics, 62 like Filipino, 44 like History, 22 like both Math and History, 25 like both Math and Filipino, 17 like Filipino and History, and 10 like all the three subjects. How many like Math only? Filipino only? History only? How many did not like any of the three subjects