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Papessa [141]
3 years ago
5

Graph the following inequality and then select the correct graph below. x - y - 2 ≥ 0

Mathematics
2 answers:
-Dominant- [34]3 years ago
7 0

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

x-y-2\geq 0

Isolate the variable y

-y\geq -x+2 -----> Multiply by -1

y\leq x-2

The solution of the inequality is the shaded area below the solid line

The equation of the line is y= x-2

The slope of the line is positive

The y-intercept of the line is the point (0,-2)

The x-intercept of the line is the point (2,0)

Using a graphing tool

the graph in the attached figure

sweet [91]3 years ago
3 0
To be able to graph any equation, simply solve for y.

You should get y ≤ x - 2          
[the sign switched because you needed to divide by -1 in order to solve for y all the way]

Then use -2 as your y-intercept. This is the point that is at (0,y) on a graph. From the origin, just go down 2 points, and mark your point. 

X is the same as 1/1 x. This is your slope. From point -2, <em>rise</em> 1 point, then <em>run</em> 1 point to the right (because it is positive). From that position, mark another point. You now have enough to make a line, which gives you the completed look of the graph for this equation. 

It should look like this: 

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