Use a graph to show the region defined by these 2 inequalities

AI Thread Summary
To graph the region defined by the inequalities y < 2 and y > x, start by plotting the line y = x, which serves as the boundary for the second inequality. The area above this line represents the solutions for y > x. For the first inequality, y < 2, shade the region below the horizontal line y = 2. The solution region is where these two shaded areas overlap, indicating the values that satisfy both inequalities. This approach clarifies how to visualize the inequalities on a graph.
evosy1978
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Homework Statement


Use a sketch graph to show the region defined by y<2 and y>x


The Attempt at a Solution



y<2 is easy as its anything below y=2...

but I am totally stuck on y>x.. How can I know what y is if i don't know what x is??

thanks for any help
 
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evosy1978 said:

Homework Statement


Use a sketch graph to show the region defined by y<2 and y>x


The Attempt at a Solution



y<2 is easy as its anything below y=2...

but I am totally stuck on y>x.. How can I know what y is if i don't know what x is??

thanks for any help

Hint -- plot the line y=x...
 
oh man of course it is... because its a linear eqaution right?

so if it were y>x-2

you would plot y=x-2

and the same as y>x

you would ploy y=x

so that's diagonal 1234567 etc...

thanks
 
evosy1978 said:
oh man of course it is... because its a linear eqaution right?

so if it were y>x-2

you would plot y=x-2

and the same as y>x

you would ploy y=x

so that's diagonal 1234567 etc...

thanks

:biggrin:
 

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