Answer:
Explanation:
1. That graph is correct as the slope = 1 and the y-intercept (where x = 0 and y =4. )The line is dotted because the inequality is '>' and the solution does not include points on the line.
Solutions are any point above the line.
One solution is (0, 6) - that is x = 0 and y = 6.
2. x > = 1
This represent all points greater than or on a continuous vertical line passing through the point (1, 0).
One solution is (2. 0).
3. x + y <= 1
First draw the graph of x + y = 1.
y = -x + 1
The slope of this line is -1 and the y-intercept is at (0, 1). The line is continuous.
As the slope is negative the line will rise to the right and it passes through the point (0, 1).
When x = 2, y = -2 + 1 = -1, so the line also passes through the point (2, -1).
You can draw the line passing through these 2 points.
All solutions are below or on this line.
One solution to the inequality is (0, -1).
4.
y = 4 is a dotted horizontal line passing through the point (0, 4).
So a solution to the inequality could be (1, 3)
The other questions are solved in a similar way as the above.