MMW Prelims

Set

An unordered collection oof objects called element or member of sets. Should be capital letter.

Rule Method

Roster Method

Set Builder Notation

Three methods of writing sets:

Rule Method

Describes the element of a given sets. Uses words.

Roster Method

Lists of all elements of a given sets. Describes or gives specific lists of number.

Set Builder Notation

Represents letters for numbers. Uses variable to represent a set of object.

Finite Set

A set with a countable number of elements.

Infinite Set

A set with uncountable number of elements.

Empty{}/Null Set∅

A set without elements.

⊆-Subset

Every element of A is also element of B

Cardinality of a set |S|

Number of elements in a set.

Power Sets P(S)

Set of all subset of the set “S”

Cartesian Plane

Set of all ordered pair (a,b) where a∈A and b∈B.

Understand the problem

What is the first step in Polya’s Method?

Devise a plan

Which step involves thinking of possible strategies like drawing a diagram or working backwards, writing equations?

Carry out the plan

Which step requires you to execute the strategy you chose or the equation you chose?

Look Back

Which step involves checking if your answer makes sense and reflecting on it? Verify the solution by substituting it back into the problem.

What is being asked?

Which of the following is an important question in the Understand the Problem step?

Memorize the answer

In the “Devise a Plan” step, which of the following is NOT usually used?

Reflect and verify your solution

Which of these best describes the Look Back step?

Problem-solving

Polya’s Method is mostly used for:

Understand → Devise a Plan → Carry Out → Look Back

Which of the following is the correct order of Polya’s Method?

Venn Diagram

An illustration that uses circles to show the relationships among things or finite groups of things.

Commonality

Circles that overlap have a ________.

Do not share

Circles that do not overlap ______ those traits.

Universal Set

The circles are being placed inside a box,  where the box represents _______.

Subset

The shaded inside of a circle represents the ______ of a universal set.

Disjoint Set

What do you call this set?

Complement Set

What do you call this set?

Intersection Set

What do you call the set with a similar sets?

Union Set

What do you call this set?

Difference Set

What do you call this set?