Is the coordinate pair (3, 3) a solution to the inequality y > 2x - 3?
1 answer:
Given:
The inequality is:
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,
Check the inequality for the point (3,3). Substituting , we get
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.
You might be interested in
Choice A is the answer which is the point (1,-1)
=========================================
How I got this answer:
Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.
-------------
checking choice A
plug in (x,y) = (1,-1)
This is true because -3 is equal to itself. So this is the answer.
-------------
checking choice B
plug in (x,y) = (2,4)
This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.
-------------
checking choice C
plug in (x,y) = (-2,3)
This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.
-------------
checking choice D
plug in (x,y) = (3,4)
This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.