<p>●14. A − B equals</p>
Step-by-Step Solution
Key Concept: Set difference A − B contains elements in A but not in B.
<p><strong>Solution:</strong></p><p>Given: A = {x : x² − 2x + 2 > 0} = {x : (x − 1)² + 1 > 0} = (−∞, ∞)</p><p>B = {x : x² − 4x + 3 ≤ 0} = {x : (x − 1)(x − 3) ≤ 0} = [1, 3]</p><p>A − B = (−∞, ∞) − [1, 3] = (−∞, 1) ∪ (3, ∞)</p><p>∴ Answer is (d) (−∞, 1) ∪ (3, ∞)</p>
Correct Answer: D