By : Fridgo Tasman, S.Pd., M.Sc.

A Set is a simply collection of distict objects. The objects can be person, number, food, and something else. Therefore, all the students enrolled this course can be considered as a set. The objects in a set are called the elements of set ( )

1. Enumeration If we let S represent of four number 2,4,6, and 8. We can write by enumeration of element by

2. Description if we let L denoted the set of all positive intergers. Enumeration became difficult therefore we can write

1. Equal if two sets S 1 and S 2 happen to contain identical element for example Then S 1 and S 2 are said to be equal (S 1 = S 2 )

2. Subset one set might be a subset of another set. If we have two sets then S is subset of T, because every element in S is also an element of T.

More formal element of that S is a subset of T, if and only if Using the set inclusion symbols (is contain in) and (includes) we may then write S T or T S

1. Union To take union of two set A and B means to form a new set containing those element (And only those elements),belonging to A, to B or both A and B. The union set is symbolized by For Example :

2. Intersection The intersection of two sets, A and B, is a new set which contain those element (and only those elements),belonging to both A and B. The intersection set is symbolized by For Example: if A and B that defined in previous page, then we have

3.Complement of a Set If we talk about complement of set,we have to know the universal of set. If we defined the universal of set and we have set therefore we can know the complement of A is

1. The commutative law of union and intersection

2. The associative law of unions and intersection

3. The distributive law of union and intersection

What is Function? y is said to be a function of x which is denoted as y = f(x) If any x value uniquely determine a y value Therefore it will make a set of ordered pairs which satisfy the property.

Linear Function is functions that have x as the input variable, and x has an exponent of only 1. Can be denoted as y=mx + b. Example of Linear Function y=4x+7,y=11x-10 and etc

If we ‘strict’ the value of y in linear function, it will make linear equation. Therefore we can defined linear equation as the equation which has x exponent of only 1. For Example : 7x + 5 = 8, 12x + 5 = 19 and etc

Linear Equation System is a colection of Linear equation. There are several ways to solve linear equation system: 1. Graph Method 2. Subsitusion Method 3. Elimination Method and 4. Determinant Method

Thank you