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📘 set theory, algebra

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Set Operations 7Db200
1. āϏāĻŽāĻ¸ā§āϝāĻž: āϏ⧇āϟ A, B, C āύāĻŋāĻ°ā§āϧāĻžāϰāĻŖ āĻāĻŦāĻ‚ āĻĒā§āϰāĻĻāĻ¤ā§āϤ āϏāĻŽā§€āĻ•āϰāĻŖ āĻ“ āϏ⧇āϟ āĻ…āĻĒāĻžāϰ⧇āĻļāύ āĻŦāĻŋāĻļā§āϞ⧇āώāĻŖ āĻ•āϰāĻžāĨ¤ 2. āĻĒā§āϰāĻĨāĻŽā§‡ āϏ⧇āϟ A āύāĻŋāĻ°ā§āĻŖāϝāĻŧ āĻ•āϰāĻŋ: $A = \{x \in \mathbb{N} : x^2 - 7x + 12 = 0\}$
Set Intersection B9Ce8A
1. āϏāĻŽāĻ¸ā§āϝāĻžāϟāĻŋ āĻšāϞ⧋: A = {2, 3, 5, 7} āĻāĻŦāĻ‚ B = {0, 1, 2, 3, 5} āϏ⧇āϟ āĻĻ⧁āϟāĻŋ āĻĻ⧇āĻ“āϝāĻŧāĻž āφāϛ⧇āĨ¤ P(A \cap B) āύāĻŋāĻ°ā§āĻŖāϝāĻŧ āĻ•āϰāϤ⧇ āĻšāĻŦ⧇āĨ¤ 2. āϏ⧂āĻ¤ā§āϰ: āĻĻ⧁āϟāĻŋ āϏ⧇āĻŸā§‡āϰ āϏāĻ‚āϝ⧋āϗ⧇āϰ āϛ⧇āĻĻ (intersection) āĻšāϞ⧋ āϤāĻžāĻĻ⧇āϰ āϏāĻžāϧāĻžāϰāĻŖ āωāĻĒāĻžāĻĻāĻžāύ
Sets Venn Inequalities
1. Problem: Find $x \in \mathbb{N}$ such that $D = A$ where $D = \{x^2 - 10, 12\}$ and $A$ is given. 2. Since $D = A$, and $A$ is not explicitly given, assume $A = \emptyset$ or $A
Prime Set Operations
1. **State the problem:** We are given sets: - $U = \{\text{all prime numbers}\}$