Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Math worksheet from Rajarshi Gurukul featuring Venn diagrams where students must match the shaded yellow regions to the correct set notation.

Worksheet with six Venn diagrams and set notation options for matching shaded regions.

Worksheet with six Venn diagrams and set notation options for matching shaded regions.

JPG 1000×1413 121.8 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #309460
Show Answer Key & Explanations Step-by-step solution for: Venn-diagrams with set notation worksheet
Let me carefully examine the Venn diagrams and match each colored region to its correct set notation.

There are six Venn diagrams, each with colored regions, and below them are six set notation options:
- PUQ (which likely means P ∪ Q)
- $\overline{A \cap B}$
- A − B
- A ∩ B
- $\overline{A \cup B}$
- B − A

I need to identify what each colored region represents.

Let me go diagram by diagram:

1. First diagram (top-left): Two overlapping circles A and B inside universal set U; the intersection (overlap) is colored yellow.
→ This is A ∩ B

2. Second diagram (top-middle): Circles P and Q; the entire area covered by either P or Q (both circles, including overlap) is yellow.
→ This is P ∪ Q

3. Third diagram (top-right): Circles A and B inside U; the background (outside both A and B) is yellow.
→ This is $\overline{A \cup B}$ (complement of union)

4. Fourth diagram (middle-left): A and B inside U; the part of A that does not overlap with B is yellow (left crescent).
→ This is A − B

5. Fifth diagram (middle-center): A and B inside U; the part of B that does not overlap with A is yellow (right crescent).
→ This is B − A

6. Sixth diagram (middle-right): A and B inside U; the entire area except the intersection is yellow — i.e., everything in A or B but not in both.
→ That’s the complement of A ∩ B: $\overline{A \cap B}$

Now let’s match them to the boxes below (there are 6 blank boxes under the diagrams, and 6 options listed). The task says “Drag the set-notation...”, so we assign each notation to the correct diagram.

So the correct matches are:

- Diagram 1 (intersection colored) → A ∩ B
- Diagram 2 (union colored) → PUQ (i.e., P ∪ Q)
- Diagram 3 (outside both colored) → $\overline{A \cup B}$
- Diagram 4 (A only colored) → A − B
- Diagram 5 (B only colored) → B − A
- Diagram 6 (everything except intersection colored) → $\overline{A \cap B}$

Since the question asks to solve the problem accurately and only provide the final answer (and ExplainAnswer = false), I will list the correct set notation for each of the six diagrams in order (left to right, top to bottom).

Final Answer:
A ∩ B, PUQ, $\overline{A \cup B}$, A − B, B − A, $\overline{A \cap B}$
Parent Tip: Review the logic above to help your child master the concept of set notation worksheet.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all set notation worksheet)

Venn Diagram Worksheets - Set Notation Problems Using Three Sets ...
Set-Builder and Interval Notation Worksheet for 9th Grade | Lesson ...
Set and Set Notation Themed Math Worksheets | Aged 11-13
Set Notation - GCSE Maths - Steps, Examples & Worksheet
Naming Sets (B) Worksheet | Printable Maths Worksheets
Set Notation Worksheets | Questions and Revision | MME
Venn Diagram Symbols - Steps, Examples & Worksheet
Venn Diagram Worksheets | Dynamically Created Venn Diagram Worksheets
Set notation worksheet | Live Worksheets
Venn-diagrams with set notation worksheet | Live Worksheets