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SMO 2017 Senior Round 1 Question 8

SMO · SMO 2017 Senior Round 1

Question 8

Find the range of values of $x$ that satisfy both of the following inequalities: $$(x+3)^2\le(3x-1)^2,\qquad3x\ge x^2.$$
  1. $0\le x\le1$
  2. $1\le x\le2$
  3. $2\le x\le3$
  4. $3\le x\le4$
  5. None of the above