Question

134224454321₁ de dCHHERWhich system of linear inequalities is represented by thegraph?Oy²x +3 and 3x − y > 2O y ≥=x + 3 and 3x − y > 20 y ²Ox-x + 3 and 3x +y>2O y ≥x + 3 and 2x -y > 2

Answer 1

Given,

The graph of the inequalities is,

Required

The equation of the inequalities.

Here,

The y intercept of the red line is (0,3).

The y intercept of the grey line is(0,-2).

The slope of the red line is,

`Slope=(4-3)/(3-0)=(1)/(3)`

The slope of the grey line is,

`\begin{gathered} Slope=(4-(-2))/(2-0) \\ =3 \end{gathered}`

So, the inequalities of the graph are

`\begin{gathered} y\ge(1)/(3)x+3 \\ 3x-y>2 \end{gathered}`

Hence, option A is correct.