Question

Which of the following points is NOT a solution of the inequality y> [x] + 3

A. -3, 0
B. -3, 6
C. 0, 4

Answer 1

A. -3, 0 is the correct answer.

Answer 2

Option A) (-3,0)

Explanation:

We are given an inequality:

`y> [x] + 3`

Here [x] is the greatest integer function and defined as:

• ⌊x⌋=the largest integer that is less than or equal to x for all real values of x.

The attached image shows the graph for the given inequality.

A) (-3, 0)

`y> [x] + 3\\0 > [-3] + 3\\0 > 0`

which is not true.

B) (-3, 6)

`y> [x] + 3\\6 > [-3] + 3\\6 > 0`

which is true

C) (0, 4)

`y> [x] + 3\\4 > [0] + 3\\4 > 3`

Thus, (-3,0) is not a point in solution for given inequality.