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.