Question

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

Answer 1

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 2

(-4, 1)

Explanation:

Given inequality,

`y > |x| - 5`

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

At (4,-1),

`-1> |4| - 5` ( False )

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

At (-1, -4)

`-4 > |-1| - 5` ( False )

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

At (-4, 1),

`1 > |-4| - 5` ( True )

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