which point is part of the solution of the inequality y<|x+4|-3?A. -2,1 B.0,0 C. -4,2 D.1,3?

2016-06-30 4:45 pm

回答 (1)

2016-06-30 4:51 pm
A. False
When x = -2 and y = 1 :
|x + 4| - 3 = |-2 + 4| - 3 = 2 - 3 = -1
y = 1 > -1 = |x + 4| - 3

B. True
When x = 0 and y = 0 :
|x + 4| - 3 = |0 + 4| - 3 = 4 - 3 = 1
y = 0 < 1 = |x + 4| - 3

C. False
When x = -4 and y = 2 :
|x + 4| - 3 = |-4 + 4| - 3 = 0 - 3 = -3
y = 2 > -3 = |x + 4| - 3

D. False
When x = 1 and y = 3 :
|x + 4| - 3 = |1 + 4| - 3 = 5 - 3 = 2
y = 3 > 2 = |x + 4| - 3

...... The answer is : B. (0, 0)


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