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#30863

consecutive integers

inequalities

medium

75 sec

In a set of four consecutive even integers, where the integers are ordered from least to greatest, the first integer is represented by $y$ . The product of $3$ and the second even integer is at least $10$ less than the sum of the first and fourth even integers. Which inequality represents this situation?

A.

$3 (y + 2) \geq (y + (y + 6)) - 10$

B.

$3 (y + 2) \leq (y + (y + 6)) - 10$

C.

$3 (y + 4) \geq (y + (y + 6)) - 10$

D.

$3 (y + 2) \geq 10 - (y + (y + 6))$