SOLUTION: how would you graph and describe the solution x > -y?
Algebra.Com
Question 169409: how would you graph and describe the solution x > -y?
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
-----
please note:
in interval notation,
(a means x is > a
[a means x is >= a
b) means x is < b
b] means x is <= b
(a,b) means a < x < b
[a,b] means a <= x <= b
-----
please note:
in interval line,
-------------------- represent part of line that is not in the interval.
==================== represent part of line that is in the interval.
the (, [, ), ] mean the same as above.
-----
equation you have is x > -y
-----
in interval notation, this would be:
(-y,)
on the interval line, this would look like:
<-------------------(-y ========================= )----------->
i can't actually graph this in its present form, but if we massage the equation then we can graph it.
your equation is x > -y which is the same as -y < x
if we multiply both sides of the equation by -1, we get
y > -x
because multiplying both sides of an inequality by a negative number reverses the inequality.
now the equation is in a form that can be graphed.
in order to draw the graph, make y = -x
that would be the equation of the line that would be the dividing point.
the graph would look like the following:
look below the graph for further comments.
since your equation is y > -x, the area over the line would be the area that satisfies the equation.
for any given value of x, any value of y greater than -x would satisfy the inequality.
for example:
let x = 5.
looking at x = 5, the line shows y = -5.
any value of y greater than -5 would satisfy the inequality at that point.
if you were drawing the graph, you would shade the area over the line of y = -x to show that is the area that satisfies the equation y > -x.
-----
RELATED QUESTIONS
1. Describe how to graph: x < -3
2. Describe how to graph and find the solution... (answered by Boreal)
y=1 if x is rational and y=0 if x irrational. how would you describe this on a... (answered by ikleyn)
Describe the graph of each equation.
y=1/x
how would you describe this? I dont... (answered by RAY100)
If {{{x = (1/80) y}}}, then how would I describe the... (answered by Boreal)
How would you classify and graph the following system?
y=x+4
y+x=4
Then, how would (answered by checkley77)
How do you describe the graph of y=|x|+a in the terms of the graph... (answered by MathLover1)
How do you graph the following system of equations. Describe both lines and the final... (answered by Mathtut)
How do you find the graph y=-x and y=2x+3 and find the... (answered by stanbon)
This is blowing my mind - the problem reads:
Consider the system y=a and x=b where a... (answered by Fombitz)