SOLUTION: In a pair of consecutive even integers, five times the smaller is less than four times the greater. Find the largest pair of integers satisfying the given condition.

Question 937811: In a pair of consecutive even integers, five times the smaller is less than four times the greater. Find the largest pair of integers satisfying the given condition.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let x be the smaller consecutive even integer.
then x + 2 is the larger consecutive even integer.

5x < 4(x+2) becomes 5x < 4x + 8

subtract 4x from both sides to get x < 8

that's your solution.

you can check it out with numbers.

here's my check with numbers from -20 to 20/

$$$

when x is smaller than 8, 5x is smaller than 4(x+2).

when x is equal to or greater than 8, 5x is not smaller than 4(x+2).

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