When both sides of a linear inequality are multiplied by a negative real number
MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
When both sides of a linear inequality are multiplied by a negative real number, what happens to the inequality sign?
(a) It remains the same on both sides.
(b) It reverses direction.
(c) It changes to an equality sign.
(d) It reverses direction only when multiplied by −1; otherwise it stays the same.