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Please solve and show all work thanks

Please solve and show all work thanks-example-1
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Answer:

The smallest of the two consecutive integers is 10 or less.

Explanation:

Let x represent the smallest of the even integers in the sequence.

Then the sum of two consecutive even integers is ...

x + (x +2) = 2x +2

And half the sum of the next two consecutive even integers is ...

(1/2)((x +4) + (x +6)) = x + 5

The relationship between these values is ...

2x +2 ≤ 7 + (x +5)

Subtracting x+2 gives ...

x ≤ 10

The least of the two consecutive even integers is at most 10.

User Pedro Cori
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