Write the inequality in the space provided and graph it on the grid.
a.I am not in the second quadrant.
b.One point on my border is (-2,-1)
It is not one of my solutions
c. My border is a horizontal line
What is your question?
To write the inequality, let's start with the information given:
a. "I am not in the second quadrant." This means the solution set does not include any points in the second quadrant. The second quadrant is where x < 0 and y > 0.
b. "One point on my border is (-2,-1), and it is not one of my solutions." This means the point (-2,-1) lies on the border of the solution set and is not included in it.
c. "My border is a horizontal line." This means the border of the solution set is a horizontal line.
Since the second quadrant is excluded, we know the line cannot intersect or cross the positive y-axis. So, the equation for the horizontal line can be written as:
y = k
where k is a constant.
To find the value of k, we use the given point (-2,-1) which lies on the border. Substituting the coordinates into the equation, we get:
-1 = k
So, the equation for the horizontal line is y = -1.
Now, we can graph the inequality on the grid by drawing a horizontal line y = -1.