Question

graph the system of linear inequalities
Y>x+4
x<_1

Answer 1

Ok there is the graph of the two inequalities. The shading sucks. The point is that y>x+4 is y values above and not including the line y=x+4 and \[x\le 1\] is a vertical line at x=4 and everything to the left. Both would be the parts that both shadings hit.

Answer 2

what are the points u graphed

Answer 3

For y>x+4 you could put points (0,4) and (-4,0) and draw/connect those lines.
For x less or equal to 1 (1,0) and (1,5) would work and draw and connect those.

Shade above y>x+4 since this means the y values above the graph
Shade to the left of x less or equal to 1 line since these are the x values less than 1

Shade darkly the two shadings that overlap and thats your answer.
Remember that y>x+4 does not include the line while x<= 1 does include the line

Answer 4

thanks so much may u help me with another problem?

Answer 5

Sure:)

Answer 6

ok find the minimum and maximum valuessof the objective function subject to the givin constraints
Objective function:c=x+y
Constraints: X>_ 0
y>_0
y<_ 1/2x+2

Answer 7

Ok you need to repeat what we did before with
\[x\ge 0\]
Is a vertical line at x=0 and you would shade any x value greater or equal than 0

\[y\ge 0\]
Is a horizontal line and you would shade any y value greater or equal than 0
and \[y\le 0.5x+2\]
is a line between points (0,2) and (-4,0)
and you would shade any y value LESS than or equal to the line

Answer 8

well this one does not need to be graphed but how do u solve it?

Answer 9

This is not my strength, but I would think that you could do a substitution.
You know that y<=0.5x+2
so C<= x+0.5x+2
c<=1.5x+2
when x=0 c=2, so that would be a minimum.
I don't think there is a max though