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Set Operations and Complements (HSC SSCE Mathematics Advanced): Quizzes

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Set Operations and Complements

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What does the intersection $A \cap B$ represent?

Elements in both $A$ and $B$

If $A = \{1, 2, 3\}$ and $B = \{2, 3, 4\}$ , what is $A \cap B$ ?

$\{2, 3\}$

What does the union $A \cup B$ represent?

All elements from $A$ , $B$ , or both

If $A = \{1, 2, 3\}$ and $B = \{2, 3, 4\}$ , what is $A \cup B$ ?

$\{1, 2, 3, 4\}$

When are two sets $A$ and $B$ disjoint?

When $A \cap B = \varnothing$

Are sets $A = \{1, 3, 5\}$ and $B = \{2, 4, 6\}$ disjoint?

Yes, they have no common elements

If $U = \{1, 2, 3, 4, 5, 6\}$ and $A = \{1, 3, 5\}$ , what is $\overline{A}$ ?

$\{2, 4, 6\}$

How should you think of the intersection operation?

As "AND" - element must be in both sets

How should you think of the union operation?

As "OR" - element in either set or both

If $A = \{a, b\}$ and $B = \{c, d\}$ , what is $A \cap B$ ?

$\varnothing$

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Set Operations and Complements (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What does the intersection A∩BA \cap BA∩B represent?

If A={1,2,3}A = \{1, 2, 3\}A={1,2,3} and B={2,3,4}B = \{2, 3, 4\}B={2,3,4}, what is A∩BA \cap BA∩B?

What does the union A∪BA \cup BA∪B represent?

If A={1,2,3}A = \{1, 2, 3\}A={1,2,3} and B={2,3,4}B = \{2, 3, 4\}B={2,3,4}, what is A∪BA \cup BA∪B?

When are two sets AAA and BBB disjoint?

Are sets A={1,3,5}A = \{1, 3, 5\}A={1,3,5} and B={2,4,6}B = \{2, 4, 6\}B={2,4,6} disjoint?

If U={1,2,3,4,5,6}U = \{1, 2, 3, 4, 5, 6\}U={1,2,3,4,5,6} and A={1,3,5}A = \{1, 3, 5\}A={1,3,5}, what is A‾\overline{A}A?

How should you think of the intersection operation?

How should you think of the union operation?

If A={a,b}A = \{a, b\}A={a,b} and B={c,d}B = \{c, d\}B={c,d}, what is A∩BA \cap BA∩B?

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Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

What does the intersection $A \cap B$ represent?

If $A = \{1, 2, 3\}$ and $B = \{2, 3, 4\}$ , what is $A \cap B$ ?

What does the union $A \cup B$ represent?

If $A = \{1, 2, 3\}$ and $B = \{2, 3, 4\}$ , what is $A \cup B$ ?

When are two sets $A$ and $B$ disjoint?

Are sets $A = \{1, 3, 5\}$ and $B = \{2, 4, 6\}$ disjoint?

If $U = \{1, 2, 3, 4, 5, 6\}$ and $A = \{1, 3, 5\}$ , what is $\overline{A}$ ?

If $A = \{a, b\}$ and $B = \{c, d\}$ , what is $A \cap B$ ?