Graph 2x + y > 6Test point :

We have to graph the inequality:

We have to write the line that represent the boundary between the solution region and the other region.

We can write the equation of this line as:

This line has the y-intercept at (0,6).

We can find another point of this line by giving a value to x, for example x = 3:

Then, the point (3, 0) also belongs to this line.

We can graph the line that limit this two regions as:

Now, if we look at the inequality, this line does not belong to the solution region as we have a ">" sign.

We can find which of the two regions is the solution region by testing one point.

For example, we can test for (0,0):

Then, (0,0) is outside of the solution region. Then, the solution region is above the line y = -2x + 6:

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25