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Q9Section I (General (compulsory))9 of 190

Recognising convex sets — a line, a wedge, and an epigraph

Which of the following sets are convex sets? (i) {(x,y)∣y=x}\{(x,y)\mid y=x\}. (ii) {(x,y)∣y≤∣x∣}\{(x,y)\mid y\le|x|\}. (iii) {(x,y)∣y≥x2}\{(x,y)\mid y\ge x^2\}.

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