Which of the following is a solution of y > |x| - 5?
(4, -1)(-1, -4)(-4, 1)

Question

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Respuesta :

masterofcheese04 masterofcheese04 · Answer 1 · 2017-08-08T18:51:46+02:00

A. (4,-1) = -1 > 4 -5 = -1 > -1 X
B. (-1,-4) = -4 > 1 -5 = -4 > -4 X
C. (-4, 1) = 1 > 4-5 = 1 > -1 V

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

Answer Link

slicergiza slicergiza · Answer 2 · 2019-07-19T18:00:40+02:00

Answer:

(-4, 1)

Step-by-step explanation:

Given inequality,

[tex]y > |x| - 5[/tex]

A point is called a solution of an equality if it satisfies the inequality,

At (4,-1),

[tex]-1> |4| - 5[/tex] ( False )

⇒ (4,-1) is not a solution of the inequality,

At (-1, -4)

[tex]-4 > |-1| - 5[/tex] ( False )

⇒ (-1, -4) is not the solution of the inequality,

At (-4, 1),

[tex]1 > |-4| - 5[/tex] ( True )

⇒ (-4, 1) is a solution of the inequality.