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

(-5, 1); (-1, -5); (5, -1)

**Solution:**

The mathematical expressions in which both sides are not equal are called inequalities. In inequality, unlike in equations, we compare two values.

We can solve the problem by substituting the points given. Let us consider each case and try to find out the solution.

y > |x| - 6

**Case 1** (-5, 1)

1 > |-5| - 6

1 > 5 - 6

1 > -1

**Case 2** (-1, -5)

-5 > |-1| - 6

-5 > 1 - 6

-5 > -5

**Case 3** (5, -1)

-1 > |5| - 6

-1 > 5 - 6

-1 > -1

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

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

(-5, 1); (-1, -5); (5, -1)

**Summary:**

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

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