JCHL Sets

Junior Cycle Higher Level Maths JCHL Sets

JCHL Sets

Your progress through this topic0 of 8 lessons

Lessons in this topic

All 8 lessons.

1Introduction to Sets 2Union and Intersection 3Set Difference and Complement 4Subsets 5Cardinal Number 6Commutative Property 7Associative Property 8Set Problems

Key ideas in this topic

Every formula from these lessons in one place. The green ones are printed in the log tables booklet you get in the exam — the red ones you learn off.

Union (A ∪ B) — Union (A ∪ B)

Everything that is in A OR B (or both).

JCHL Sets 2

Intersection (A ∩ B) — Intersection (A ∩ B)

Only the overlap — elements in BOTH A and B.

JCHL Sets 2

Set difference (A ∖ B) — Set difference (A ∖ B)

The elements that are in A but NOT in B. Say it “A less B”.

JCHL Sets 3

Complement (A′) — Complement (A′)

Everything in the universal set that is NOT in A.

JCHL Sets 3

★ Must learn

Improper subsets

Every set has two improper subsets: the set itself, and the null (empty) set ∅.

JCHL Sets 4

Number of subsets — Number of subsets

A set with n elements has 2ⁿ subsets in total (including itself and ∅).

JCHL Sets 4

Cardinal number (#A) — Cardinal number (#A)

The NUMBER of elements in a set — the answer is just a number, not a set.

JCHL Sets 5

Commutative property — Commutative property

The ORDER does not matter for union or for intersection — you get the same set either way round.

JCHL Sets 6

Associative property — Associative property

Where you put the BRACKETS does not matter for union or for intersection — you get the same set either way.

JCHL Sets 7

Associative property (intersection) — Associative property (intersection)

The same is true for intersection.

JCHL Sets 7

Topic Content

0% Complete 0/8 Steps

JCHL Sets 1: Introduction to Sets

JCHL Sets 2: Union and Intersection

JCHL Sets 3: Set Difference and Complement

JCHL Sets 4: Subsets

JCHL Sets 5: Cardinal Number

JCHL Sets 6: Commutative Property

JCHL Sets 7: Associative Property

JCHL Sets 8: Set Problems