Question

Is (-1,-5) the solution to 6x-5<= 11x + y ? If o, how do I graph it properly?

Answer 1

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Answer 2

no its not the solution to it
6x-5<= 11x + y just plug the x=-1, y=-5
6(-1)-5<= 11(-1) + -5
-6 -5 <= -11-5
-11 <=-16 false....bec -16< -11

Answer 3

Try to see -5 in terms of x and y first...
6x-5<= 11x + y
-5<= 11x + y -6y
-5<= 5x + y

If (-1, -5) is a solution then bu replacingx with -1 and y with -5
we get...

-5<5(-1) + (-5) which yields ...
-5<-5 -5 which simplifiest to ...
-5 <-10
This you will see is an untrue statement and as such the coordinate paire do not satisfy this particular inequality.

Answer 4

How to graph it properly ...
Write y in terms of x and then feed 3 values in to the x variable.
6x-5<= 11x + y impliest that ...
6x -11x -5 <= y
or even better ...
-5x-5 <= y
If x = 0 say, then y = -5 hence (0, -5) is on the line
If x = -2 say, then y = 5 hence (-2, 5) is on the line
If x = -3 say, then y = 10 hence (-3, 10) is on the line

Now check the attached jpeg to see the graph
The shaded area represents all coordinates that make the inequality true
THE BROKEN GRAPH LINE SHOWS THAT THE COORDINATES ON THAT LINE ARE NOT PERMISSABLE.