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
Messages
6
Reaction score
0

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
 
Physics news on Phys.org
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:
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

Find the range of the function ##f(x) = \frac{e^{2x}-e^x+1} {e^{2x}+e^x+1}##
Replies
8
Views
3K
Where Do the Graphs of |3x-2| and 1/x Intersect and Diverge?
Replies
4
Views
2K
Logarithmic Regression Question (TI-84 Plus Graphing Calculator)
Replies
4
Views
2K
Graphing f(x)=√x but shifted 2 units to the left and then reflected
Replies
12
Views
8K
Graphical Transformations and Finding the Equation of a Curve
Replies
3
Views
1K
Is ##f(x)=2^{x}-1## considered an exponential function?
Replies
12
Views
2K
How to graph by hand: y=log((x/(x+2))
Replies
3
Views
1K
Intersection of a circle and a sine curve
Replies
26
Views
693
Show that the ratio ##x+y:x-y## is increased by subtracting ##y##
Replies
4
Views
1K
Graphing to find the intersections of lines and a parabola in this limit
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top