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SMO 2021 Senior Round 1 Question 5

SMO · SMO 2021 Senior Round 1

Question 5

Select all the inequalities which hold for all real values of $x$ and $y$.

(i) $x\le x^2+y^2$

(ii) $xy\le x^2+y^2$

(iii) $x-y\le x^2+y^2$

(iv) $y+xy\le x^2+y^2$

(v) $x+y-1\le x^2+y^2$
  1. (i)
  2. (i) & (ii)
  3. (iii) & (iv)
  4. (ii)
  5. (ii) & (v)