allerySolve (2 x - 5) / 3 >= 1 over integers.
Ax belongs to {3, 4, 5}
Bx belongs to {1, 2, 3, 4}
Cx belongs to {4, 5, 6, ...}
Dx belongs to {-1, 0, 1}
Answer & Solution
Correct answer: C. x belongs to {4, 5, 6, ...}
1. Multiply both sides by 3: 2 x - 5 >= 3.
2. Add 5: 2 x >= 8.
3. Divide by 2: x >= 4.
4. Integer solutions are {4, 5, 6, ...}.
_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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