Olympiad Maths Prep

Track / Stage 4 / 90 of 340 #350 of 2000

Problem 350

AMC 12 late, AIME early
Algebra Difficulty 4.7 Find the answer

9. The function y=x+2+1x+1y=|x+2|+|1-x|+1 is an increasing function for xx, then xx must belong to the interval ( )
(A) (,2](-\infty,-2]
(B) [2,0][-2,0]
(C) [0,+[0,+\infty )
(D) (,0](-\infty, 0]

Official solution

C

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