i am supose to graph this using three points on a graph
how am i suppose to find three points for this problem
x<=2
What about x=2, y = anything; x=1, y= anything; and x=-4, y= anything.
I would write as as
x+y<=2
2+y<=2
then solve for y to get my points
To graph the inequality x <= 2, you need to find three points that satisfy this inequality. Here's how you can find three points:
1. Pick a value for x that is less than or equal to 2. Let's start with x = 1.
Substitute x = 1 into the inequality: 1 <= 2.
This is a true statement, so (1, y) is a point that satisfies the inequality.
2. Pick another value for x that is less than or equal to 2. Let's try x = 2.
Substitute x = 2 into the inequality: 2 <= 2.
This is also a true statement, so (2, y) is another point that satisfies the inequality.
3. Finally, choose a third value for x that is less than or equal to 2. Let's use x = -4.
Substitute x = -4 into the inequality: -4 <= 2.
Since -4 is less than or equal to 2, this is a true statement as well, so (-4, y) is a third point that satisfies the inequality.
Now you have three points: (1, y), (2, y), and (-4, y) where y can be any value.
To graph these points, plot them on a coordinate plane and connect them with a solid line. Shade the region below or to the left of the line since the inequality is x <= 2.