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In the following, the symbols mean: @ = 'greater than or equal to', # = 'less than', $ = 'greater than', % = 'equal to', © = 'less than or equal to'. Statements: A # B, B © C, C $ D. Conclusions: I. A # C.
II. A $ D. Which conclusion(s) follow?

Competition practiceInequalities
  • AOnly II follows
  • BNeither I nor II follows
  • CBoth I and II follow
  • DOnly I follows

Step-by-Step Solution

A < B and B <= C give A < C, so I follows. From C > D and A < C the relation between A and D is not fixed, so II does not follow.
Answer: D) Only I follows

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