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#30864

consecutive integers

inequalities

medium

90 sec

In a set of four consecutive even integers, where the integers are ordered from least to greatest, the first integer is represented by $k$ . The sum of the first and fourth even integers is at least $7$ more than the product of $5$ and the third even integer. Which inequality represents this situation?

A.

$k + (k + 6) \geq 5 (k + 4) + 7$

B.

$k + (k + 6) \leq 5 (k + 4) + 7$

C.

$k + (k + 4) \geq 5 (k + 6) + 7$

D.

$k + (k + 6) \geq 7 - 5 (k + 4)$