Sets

proofs

Published

October 11, 2026

To do

Read §1.1 Introduction to sets
§1.1 exercises: all odd 1–51, plus ★15, ★16
Symbols: reference/symbols.qmd → Sets
Paper: all listed exercises. Odd ones have solutions at the back. Mark ✓ / ✗ / S.
Notebook: write each div below in your own words. Copy the ★ exercises in clean.

Definition 1 (Set (množina) and element (prvek)) Your words.

Definition 2 (Equal sets (rovnost množin)) Your words.

Definition 3 (Cardinality (mohutnost)) Your words.

Definition 4 (Empty set (prázdná množina)) Your words.

Definition 5 (Set-builder notation (zápis množiny vlastností)) Your words.

Intuition

Your words.

Exercises

★ 15. Write \{5a + 2b : a, b \in \mathbb{Z}\} by listing its elements. Prove your answer.

Solution

Your words.

★ 16. Write \{6a + 2b : a, b \in \mathbb{Z}\} by listing its elements. Prove your answer.

Solution

Your words.