Set OperationsThe operations, and the identities worth recognising on sight.MathematicsSets and their algebra. A' is the complement of A.OperationsA ∪ B — in A, in B, or in bothA ∩ B — in both at onceA \ B — in A but not in BA' — everything outside AA × B — the ordered pairs (a, b)IdentitiesDe Morgan: (A ∪ B)' = A' ∩ B'∪ and ∩ each distribute over the otherA ⊆ B ⇔ A ∪ B = B|A ∪ B| = |A| + |B| − |A ∩ B|A ∩ ∅ = ∅ and A ∪ ∅ = A∈ relates an element to a set; ⊆ relates two sets. {1} ∈ {{1}} and {1} ⊆ {1,2} are both true, for entirely different reasons.Set Operationslearnposters.com
Set Operations — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Set Operations poster

10 entries in 2 groups.

Sets and their algebra. A' is the complement of A.

∈ relates an element to a set; ⊆ relates two sets. {1} ∈ {{1}} and {1} ⊆ {1, 2} are both true, for entirely different reasons.

Questions about the Set Operations poster

What’s on the Set Operations poster?
10 entries in 2 groups. Sets and their algebra. A' is the complement of A. Operations: A ∪ B — in A, in B, or in both, A ∩ B — in both at once, A \ B — in A but…; Identities: De Morgan: (A ∪ B)' = A' ∩ B', ∪ and ∩ each distribute over the other, A…. ∈ relates an element to a set; ⊆ relates two sets. {1} ∈ {{1}} and {1} ⊆ {1, 2} are both true, for entirely different reasons.
Who is the Set Operations poster for?
Set Operations belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning discrete mathematics can pin it up — a beginner, a student mid-course, or someone revising years later.
When should you use the Set Operations poster?
For counting arguments, and any manipulation of conditions written as sets. A wall chart earns its place by being glanceable from where the work is happening, so Set Operations belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Set Operations?
The Binomial Theorem, Counting Principles and Euler & Hamiltonian Paths sit alongside Set Operations in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Binomial TheoremCounting PrinciplesEuler & Hamiltonian Paths
Is the Set Operations poster free to download and print?
Yes. Set Operations downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Set Operations poster print at?
Set Operations is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Set Operations loses nothing.Printing guide

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