Question

Is the coordinate pair (3, 3) a solution to the inequality y > 2x - 3?

Answer 1

Given:

The inequality is:

$y>2x-3$

The point is (3,3).

To find:

Whether the coordinate pair (3, 3) is a solution to the given inequality or not.

Solution:

We have,

$y>2x-3$

Check the inequality for the point (3,3). Substituting $x=3,y=3$, we get

$3>2(3)-3$

$3>6-3$

$3>3$

This is a false statement because 3 is not greater than itself.

Since (3,3) does not satisfy the given inequality, therefore (3,3) is not a solution to the given inequality.

Now we can check the solution graphically. From the graph it is clear that the point (3,3) lies on the boundary line.

The boundary line is a dotted line, it means the point on the boundary line are not included in the solution set.

Therefore, (3,3) is not a solution to the given inequality.