SOLUTION: FIND ALL POSSIBLE SOLUTIONS Find Two Consecutive Integers So That 5 Times The First Minus The Second Is Between 22 And 36.

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Question 838755: FIND ALL POSSIBLE SOLUTIONS
Find Two Consecutive Integers So That 5 Times The First Minus The Second Is Between 22 And 36.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive integers: x, (x+1)

22 < 5x - (x+1) < 36
22 < 4x - 1 < 36
23 < 4x < 37
23/4 < x < 37/4
5.75 < x < 9.25

solutions: x = 6, 7, 8, 9

pairs of integers: {6, 7}, {7, 8}, {8, 9}, {9, 10}