alleryWhen 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_
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