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Solve 3 (x + 1) - 2 (x - 1) > 7. Then x belongs to
A{x : x < 2} only
B{x : x > 5} only
C{x : x > 2}
D{x : x = 2} only
Answer & Solution
Correct answer: C. {x : x > 2}
1. Expand: 3 x + 3 - 2 x + 2 > 7.
2. Combine: x + 5 > 7.
3. Subtract 5: x > 2.
4. So x > 2.
_Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on bracket solving_
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