allerySolve 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_
Keep practising Algebra: Equations, Inequations & Matrices
Browse all Algebra: Equations, Inequations & Matrices questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
The smallest natural number that satisfies x > 4 isA linear inequation in one variable can be written asSolve x + 3 > 5, then x belongs toSolve (2 x - 5) / 3 >= 1 over integers.Solve -2 (x - 3) <= 4. Then x belongs toSolve 2 x + 5 > 11, then x belongs toSolve (x + 2)/3 - (x - 1)/2 <= 1. Then x belongs toThe largest integer x satisfying 3 x - 4 < 2 x + 5 is