allerySolve -4 < 2 - x <= 1 over integers.
Ax belongs to {2, 3, 4, 5}
Bx belongs to {1, 2, 3, 4, 5}
Cx belongs to {1, 2, 3}
Dx belongs to {-1, 0, 1}
Answer & Solution
Correct answer: B. x belongs to {1, 2, 3, 4, 5}
1. Subtract 2 from each part: -6 < -x <= -1.
2. Multiply by -1 (flip both signs): 1 <= x < 6.
3. Integers in this range are 1, 2, 3, 4, 5.
4. So the integer solution set is {1, 2, 3, 4, 5}.
_Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on integer solution sets_
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