Question:
Universal set:
\[
U = \{ x \mid x^5 - 6x^4 + 11x^3 - 6x^2 = 0 \}
\]
Subsets:
\[
A = \{ x \mid x^2 - 5x + 6 = 0 \}, \quad
B = \{ x \mid x^2 - 3x + 2 = 0 \}
\]
Find:
\[
(A \cap B)'
\]
Universal set:
\[ U = \{ x \mid x^5 - 6x^4 + 11x^3 - 6x^2 = 0 \} \]
Subsets:
\[ A = \{ x \mid x^2 - 5x + 6 = 0 \}, \quad B = \{ x \mid x^2 - 3x + 2 = 0 \} \]
Find: \[ (A \cap B)' \]
\[ U = \{ x \mid x^5 - 6x^4 + 11x^3 - 6x^2 = 0 \} \]
Subsets:
\[ A = \{ x \mid x^2 - 5x + 6 = 0 \}, \quad B = \{ x \mid x^2 - 3x + 2 = 0 \} \]
Find: \[ (A \cap B)' \]
Show Hint
Always list elements explicitly when working with sets.
Updated On: Mar 23, 2026
- \(\{1,3\}\)
- \(\{1,2,3\}\)
- \(\{0,1,3\}\)
- 0,1,2,3
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
x⁵-6x⁴+11x³-6x²=x²(x-1)(x-2)(x-3)
U=0,1,2,3
A=2,3 B=1,2
A∩ B=2
⟹ (A∩ B)'=0,1,3
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