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SMO 2018 Junior Round 1 Question 5

SMO · SMO 2018 Junior Round 1

Question 5

Suppose $ax+5=0$ is satisfied by some x, where $-5\lt x\lt 5$. Which one of the following conditions describes completely the range of a?
  1. $0\lt a\lt 1$
  2. $a\gt 1$ or $a\lt -1$
  3. $a\gt 1$
  4. $a\lt -1$
  5. $a\gt 1$ or $-1\lt a\lt 0$