Determine whether the ordered pair is a solution of the given inequality.
(4,0), y < x - 1
Is (4,0) a solution of the given inequality?
Yes
No
Yes
Graph the inequality.
y ≥ x - 2
To graph the inequality y ≥ x - 2, we start by graphing the line y = x - 2.
First, we plot the y-intercept, which is -2. This is the point (0, -2).
Next, we use the slope of 1 (since the coefficient of x is 1) to determine another point. Since the slope is positive, we move up 1 unit and to the right 1 unit from the y-intercept. This gives us the point (1, -1).
We can continue this process to find additional points if desired.
After graphing the line, we need to determine which side of the line to shade to represent the inequality y ≥ x - 2.
Since the inequality is greater than or equal to, we need to shade above the line to represent all the possible values of y.
Here is the graph:
Graph the inequality.
y > 4x + 2
To graph the inequality y > 4x + 2, we start by graphing the line y = 4x + 2.
First, we plot the y-intercept, which is 2. This is the point (0, 2).
Next, we use the slope of 4 to determine another point. Since the slope is positive, we move up 4 units and to the right 1 unit from the y-intercept. This gives us the point (1, 6).
We can continue this process to find additional points if desired.
After graphing the line, we need to determine which side of the line to shade to represent the inequality y > 4x + 2.
Since the inequality is greater than, we need to shade above the line to represent all the possible values of y.
Here is the graph: