Home › ICSE Class 10 › mathematics › Linear Inequations in One Variable › When both sides of an inequation are multiplied …
When both sides of an inequation are multiplied by a negative number,
AThe variable becomes negative
BThe inequality sign stays the same
CThe inequation becomes an equation
DThe inequality sign reverses
Answer & Solution
Correct answer: D. The inequality sign reverses
1. The chapter section on properties of inequations notes this rule.
2. Multiplying or dividing by a negative number flips the sign.
3. Adding or subtracting the same number on both sides does not.
4. So option A is correct.
_Source: Selina Concise Mathematics Class 10, Ch 4 Linear Inequations in One Variable (Mistral OCR'd PDF), section on multiplication 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