Question

Helpppp someone please

Answer 1

Given:

The graph of system of inequalities.

To find:

The system of inequalities.

Solution:

From the given graph it is clear that the shaded region is lies below the line y=10 and the boundary line y=10 is a solid line. So, the sign of inequality must be $\leq$.

$y\leq 10$.

The shaded region lies on the right side of the y-axis. So, $x\geq 0$.

Another boundary line passes through the point (0,1) and (1,2). So, the equation of the line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-1=\dfrac{2-1}{1-0}(x-0)$

$y=1(x)+1$

$y=x+1$

The boundary line $y=x+1$ is a dotted line and the shaded region lies above the boundary line, so the sign of inequality must be $>$.

$y> x+1$

So, the required system of inequalities is:

$y> x+1$

$y\leq 10$

$x\geq 0$

Therefore, the correct option is B.