Which graph represents the solution set of the system of inequalities? {y> _ 1/2x+1 {y> -x-2 ! i will mark you as brainlinest for correct !

Option 2nd is correct

Step-by-step explanation:

To graph the given inequality, graph the boundary of these equations.

Use dashed line if < or > used to indicate that the boundary is not the part of the solution.

Use solid line if ≤ or ≥ used to indicate that the boundary  is included in the solution.

Given the system of inequalities:

First graph the inequality .

The related equation is .

Since this is strict inequality '>', so the border is dotted.

x-intercept:

Substitute value y=0 in   to solve for x

0 = -x-2

x = -2

x-intercept = (-2, 0)

y-intercept

Substitute value x=0 in   to solve for y

y= 0-2

y = -2

y-intercept = (0, -2)

Since the sign of inequality is >, therefore the point on the line does not contains the solution set and shade the upper half of the line.

Now, graph the inequality .

The related equation is  

Since, this inequality is '≥' not the strict one, the border line is solid.

x-intercept:

Substitute value y=0 in  to solve for x

⇒x = -2

x-intercept = (-2, 0)

y-intercept

Substitute value x=0 in to solve for y

y =1

y-intercept = (0, 1)

Since the sign of inequality is ≥ , therefore the point on this line contain in the solution set and shade the upper half of the line.

You can see the graph of these system of inequalities.

circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice