SOLUTION: Graph each of the following inequalities
1. x – y ≥ 4
Algebra.Com
Question 124401: Graph each of the following inequalities
1. x – y ≥ 4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to graph the equation (just replace the inequality sign with an equal sign).
So lets graph the line (note: if you need help with graphing, check out this solver)
graph of
Now lets pick a test point, say (0,0). Any point will work, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality with the test point
Substitute (0,0) into the inequality
Plug in and
Simplify
Since this inequality is not true, we do not shade the entire region that contains (0,0). So this means we shade the region that is on the opposite side of the line
Graph of with the boundary (which is the line in red) and the shaded region (in green)
RELATED QUESTIONS
Graph each of the following inequalities.
4x + y ≥ 4
(answered by checkley71)
Graph each of the following inequalities.
2. 4x + y ≥ 4
(answered by jim_thompson5910)
Graph the system of inequalities.
y≥-1... (answered by ewatrrr)
could you please help me with these problems, thank you.
For problems 1 and 2, graph (answered by MRperkins)
How would I graph the following system of inequalities?
y≥-1
x≥5... (answered by mananth)
graph each system of linear inequalities. Tell whether the graph is bounded or unbounded (answered by MRperkins)
Graph the following system of inequalities. Name the coordinates of the vertices of the... (answered by KMST)
Solve each of the following systems of linear inequalities graphically.
10.
2x (answered by jim_thompson5910)
Solve the following system of inequalities by graphing. draw a graph
5x - 4y ≥ -20
(answered by MathLover1)