Home › ICSE Class 10 › mathematics › Linear Inequations in One Variable › Solve (x - 1)/2 + 3 < 6. Then x belongs to
Solve (x - 1)/2 + 3 < 6. Then x belongs to
A{x : x = 7} only
B{x : x > 7} only
C{x : x < 5} only
D{x : x < 7}
Answer & Solution
Correct answer: D. {x : x < 7}
1. Subtract 3: (x - 1)/2 < 3.
2. Multiply both sides by 2: x - 1 < 6.
3. Add 1: x < 7.
4. So x < 7.
_Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on fractional solving_
Related questions
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 isThe solution of 5 - 2 x > 1 isSolve (2 x - 5) / 3 >= 1 over integers.Solve -4 < 2 - x <= 1 over integers.Solve the double inequation 2 < x + 1 <= 5. Then x belongs to