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#12161

consecutive integers

inequalities

hard

150 sec

In a set of three consecutive even integers, ordered from least to greatest, the first integer is represented by $y$ . The product of 7 and the third even integer is at least 15 more than the sum of the first and second even integers. Which inequality represents this situation?

A.

$7 (y + 4) \leq (y + (y + 2)) + 15$

B.

$7 (y + 4) \geq (y + (y + 2)) + 15$

C.

$7 (y + 2) \geq (y + (y + 4)) + 15$

D.

$7 (y + 2) \leq (y + (y + 4)) - 15$