Decide which of the following are true statements. Provide a short justification for those that are valid and a counterexample for those that are not:
Decide which of the following are true statements. Provide a short justification for those that are valid and a counterexample for those that are not:
a) Two real numbers satisfy a < b if and only if a < b + l for every l > 0
b) Two real numbers satisfy a < b if a < b + l for every l > 0
c) ) Two real numbers satisfy a 
b if and only if a < b + l for every l > 0
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Decide which of the following are true statements. Provide a short justification for those that are valid and a counterexample for those that are not:
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