Algebra 1: Which of the following is a solution of y > |x| - 5? Question #25?

2016-05-11 4:06 pm
Which of the following is a solution of y > |x| - 5?

A. (4, -1)
B. (-1, -4)
C. (-4, 1)

回答 (2)

2016-05-11 4:17 pm
C
Plug in and you will see.
2016-05-11 4:22 pm
A. false
When x = 4 and y = -1 :
|x| - 5 = |4| - 5 = 4 - 5 = -1
Hence, y = |x| - 5

B. true
When x = -1 and y = -4 :
|-1| - 5 = |-1| - 5 = 1 - 5 = -4
Hence, y = |x| - 5

C. true
When x = -4 and y = 1 :
|y| - 5 = |1| - 5 = 1 - 5 = -4
Hence, y > |x| - 5

...... The answer is : C. (-4, 1)


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