SOLUTION: Can you help me? how many sets of three consecutive positive even integers are there such that three times the sum of the first two integers is less than five times the third inte

SOLUTION: Can you help me? how many sets of three consecutive positive even integers are there such that three times the sum of the first two integers is less than five times the third inte

Algebra.Com

Question 871474: Can you help me?
how many sets of three consecutive positive even integers are there such that three times the sum of the first two integers is less than five times the third integer
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x, x+2, x+4 be our three consecutive positive even integers, then
3(x + x+2) < 5(x+4)
6x+2 < 5x +20
x < 18
therefore
2 4 6
4 6 8
6 8 10
8 10 12
10 12 14
12 14 16

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