What pair of consecutive integers gives the following: 7 times the smaller is less than 6 times the

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What pair of consecutive integers gives the following: 7 times the smaller is less than 6 times the larger?

Let x and y be consecutive integers, where y = x + 1

We have 7x < 6y as our inequality.

Substituting x, y = x + 1, we have:

7x < 6(x + 1)
7x < 6x + 6
Subtracting x from each side, we have:
x < 6, so y = 6 + 1 = 7

(x, y) = (6, 7)