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#12162

consecutive integers

inequalities

hard

150 sec

Consider four consecutive integers, ordered from least to greatest. If the first integer is $p$ , the product of 10 and the third integer is no more than 20 less than the sum of the second and fourth integers. Which inequality represents this situation?

A.

$10 (p + 2) \geq (p + 1) + (p + 3) - 20$

B.

$10 (p + 3) \leq (p + 1) + (p + 2) - 20$

C.

$10 (p + 2) \leq (p + 1) + (p + 3) - 20$

D.

$10 (p + 3) \geq (p + 1) + (p + 2) + 20$