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=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`y-1=(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.