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2007 AMC 8 Question 15

AMC8 · 2007 AMC 8

Question 15

Let $a,$ $b$ and $c$ be numbers with $0 \lt a \lt b \lt c.$ Which of the following is impossible?
  1. $a + c \lt b$
  2. $a \cdot b \lt c$
  3. $a + b \lt c$
  4. $a \cdot c \lt b$
  5. $\dfrac{b}{c} = a$