Home › ICSE Class 10 › mathematics › Linear Inequations in One Variable › Solve -3 x < 9, then x belongs to
Solve -3 x < 9, then x belongs to
A{x : x > 3} only
B{x : x < -3} only
C{x : x > -3}
D{x : x = -3} only
Answer & Solution
Correct answer: C. {x : x > -3}
1. Divide both sides by -3.
2. Dividing by negative number flips the sign.
3. -3 x / -3 > 9 / -3 gives x > -3.
4. So solution set is {x : x > -3}.
_Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on divide by negative_
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