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1.6 Set Operations

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Part of NCERT 11 Mathematics

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Last updated Jan 31, 2026. Clone to remix or explore the blocks below.

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operation

Union of Sets

Combining sets together

Union - Combining Sets

The union of sets $A$ and $B$ is everything in $A$ OR $B$ (or both).

Symbol: $A \cup B$

Read: " $A$ union $B$ "

Think: Merge everything together, no duplicates.

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interactive

Union - Visual

See union in action

Union Visualization

$A \cup B$ includes everything from both sets.

Click to highlight the union!

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operation

Intersection of Sets

Finding common elements

Intersection - Common Elements

The intersection of sets $A$ and $B$ contains elements in BOTH $A$ AND $B$ .

Symbol: $A \cap B$

Read: " $A$ intersection $B$ "

Think: What do they share? The overlap.

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interactive

Intersection - Visual

See intersection highlighted

Intersection Visualization

$A \cap B$ is only the overlapping region.

Click to see it!

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operation

Difference of Sets

Removing elements

Difference - Taking Away

The difference $A - B$ contains elements in $A$ but NOT in $B$ .

Symbol: $A - B$ (also written $A \setminus B$ )

Read: " $A$ minus $B$ "

Think: Remove from $A$ anything that's also in $B$ .

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interactive

Difference - Visual

See difference operation

Difference Visualization

See how $A - B$ and $B - A$ are different!

Order matters in difference.

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quiz

Check: Set Operations

Test union, intersection, difference

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If $n(A) = 8$ , $n(B) = 12$ , and $n(A \cap B) = 5$ , find $n(A \cup B)$ :