Which of the following is a solution of y > |x| - 6?
i) (5, -1) ii) (-1, -5) iii) (-5, 1)

Solution:

Inequality can be defined as the relationship between two algebraic expressions. Three different symbols used for inequality are ( >, <, = ).

We can proceed with the given problem by analyzing all the given points.

Case 1: For (5, -1) 

⇒ y > |x| - 6

⇒ -1 > |5| - 6

⇒ -1 > -1

Hence, given point is not a valid answer as -1 is not greater than -1

Case 2: For (-1, -5)

⇒ y > |x| - 6

⇒ -5 > |-1| - 6

⇒ - 5 > - 5

Hence given point is not a valid answer as -5 is not greater than -5

Case 3: For (-5, 1)

⇒ y > |x| - 6

⇒ 1 > |-5| - 6

⇒ 1 > -1

Hence, the given point is a valid point as it satisfies the given condition.

Therefore, point (-5, 1) is the required solution for y > |x| - 6.

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Which of the following is a solution of y > |x| - 6?

Summary:

The point (-5, 1) is the required solution for y > |x| - 6.