Graph the equation below 6x - 5y > - 5

Check the image.

Step-by-step explanation:

First we draw the line 6x-5y=-5 Use the method you prefer, find 2 points or write it in segment form, get it to slope-intercept, any works.

At that point the easiest way to solve it is to plug a convenient point (read: if you can use the origin, you use the origin!) and see if the inequality holds:

which is indeed true. It means that the part of plane that contain 0 is part of the solution. A good way to mark the line is not part of the solution is to keep it dotted instead of solid, or draw it really thin.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: