Condition A : Given x,y in X such that yRx, then it follows that λy+(1−λ)xRx for all 0<λ<1 Condition B: Given x,y in X such that yPx, then it follows that λy+(1−λ)xPx for all 0<λ<1 Either prove or disprove the following statement: If a preference relation R satisfies Condition B, then it also satisfies Condition A. (Condition B ⇒ Condition A )

Q&A Education