3 years ago

Please solve and show all work thanks

Mathematics

1 answer:

mars1129 [50]3 years ago

5 0

Answer:

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

Step-by-step 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.

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