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SMO 2016 Senior Round 1 Question 7

SMO · SMO 2016 Senior Round 1

Question 7

Find all the positive values of x for which $$2|x^2-3 x|\le x.$$
  1. $5/2\le x\le 3$
  2. $1/2\le x\le 5/2$
  3. $5/2\le x\le 7/2$
  4. $0\le x\le 7/2$
  5. $1/2\le x\le 1$