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#20980

consecutive integers

inequalities

hard

180 sec

In a set of three consecutive integers, where the integers are ordered from least to greatest, the first integer is represented by $x$ . The product of $3$ and the first integer is at most $10$ less than the sum of the second and third integers. What is the greatest possible value of $x$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.