Solutions for Number Sets Problems

2 Let A= {3,0, 7, 36, , - 134} 5 For each of exercises 31 – 36 you are asked to list the elements of A which are also elements of the specified set. You are expected to write your response as a set. In each case you are constructing the intersection of the set A with another set. 31. A∩ W= { 3,0, 36} 32. A∩ Z={ 3,0, 36, - 134} 禳 2 33. A∩ N= { 3, 36} 34. A∩ Q=睚 3,0, 36, - 134, 铪 5

A∩ R= A or you could answer 35. A∩ F= 7 36. { } 禳 2 A∩ R=睚 3,0, 36, - 134, , 7 铪 5 The first choice is preferred.

Insert the correct symbol in the to make the statement true. Comment: There are four symbols that might be used to state the required relations. They are 蜗趟 . The first two 蜗 are used to describe a relation between a number and a set of numbers. The second two 趟 are used to describe a relation between two sets of numbers. a) -11 {x|x is an integer} b) {-11} {x|x is an integer} c) -11 {x|x is a natural number} d) {-11} {x|x is a natural number } e) -11 {x|x is a rational number} f) {-11} {x|x is a rational number} g) -11 {x|x is an irrational number} h) {-11} {x|x is an irrational number}

Write all subsets of the K = {a, 3, , 5} , {a}, {3}, {}, {5}, {a, 3}, {a, }, {a, 5}, {3, }, {3, 5}, {, 5},

1 {a, 3, }, {a, 3, 5}, {a, , 5}, {3, , 5}, K

Miscellaneous Exercise.

Hint: There is one subset of K which has no elements.

There is one subset of K which has four elements.

There are some subsets of K which have just one element.

There are some subsets of K which have two elements.

There are some subsets of K which have three elements.

2 Illustrate the following Additions and Subtractions on the number line. 1) 3 + 2=

2) 5 – 7=

3) -3 – 4 =

4) -2 – (-3) =

2 5) 3 + = 3

6) 2+ 3 =

7) 2 +( -p) =