allerySolve 5 (x - 2) >= 15, then x belongs to
A{x : x <= 3} only
B{x : x <= 5} only
C{x : x >= 3} only
D{x : x >= 5}
Answer & Solution
Correct answer: D. {x : x >= 5}
1. Divide both sides by 5: x - 2 >= 3.
2. Add 2: x >= 5.
3. Sign does not flip.
4. So x >= 5.
_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