Graph the inequality:

y> -x+3

i would very much appreciate the : )

See attached picture.

Step-by-step explanation:

To graph the inequality, use the y = mx + b form for linear equations. Here y > -x + 3 has slope of -1 and y-intercept of 3. Plot a point at (0,3) and move down 1 unit and 1 unit to the right. Plot a new point at (1,2). Connect the points with a dashed line. A dashed line is used for all inequalities which are not equal to. Finally, shade one side of the line. To determine which side, test a point not on the line. Shade the side which makes the inequality true.

y > -x + 3    test (0,0)

0 > -0 + 3

0 > 3 is false

Shade the side that does not have (0,0).

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