Which rule must be applied when **dividing both sides of an inequality by a negative number**?
AThe inequality sign is preserved.
BThe inequality becomes an equation.
CBoth sides become zero.
DThe inequality sign is reversed (e.g. $<$ becomes $>$).
Answer & Solution
Correct answer: D. The inequality sign is reversed (e.g. $<$ becomes $>$).
Multiplying or dividing both sides by a **negative** number flips the inequality. Example: $-3 < -2$ but $(-3)(-1) = 3 > 2 = (-2)(-1)$.
Addition/subtraction by any number, and multiplication/division by a **positive** number, preserve the sign.
Related questions
Direct: The mother said, 'Sleep now, my child.' Indirect form isDirect: She said to him, 'Can you help me?' Indirect form isDirect: She said, 'May God bless you!' Indirect form isDirect: The boy said, 'Alas! I have failed.' Indirect form isDirect: He said, 'I bought this book yesterday.' Indirect form isDirect: He said, 'I will see you tomorrow.' Indirect form isDirect: She said, 'Hurrah! We have won the match.' Indirect form isDirect: He said to her, 'Please help me.' Indirect form is