Question

State 3 linear inequalities which define the shaded region in diagram 8

Answer 1

The equations of bounded lines of graph are 2y = 5x, x = 6 and y = 1/2x.

It can be observed that the point (0,0) lies in region. So one inequality is,

`x<6`

The point (0,1) does not lies in the region. So point (0,1) does not lie in region if second inequality,

`2y\le5x`

The point (6,0) does not lie in the rigion. So third inequality is,

`y>(1)/(2)x`

So possible three inequalities are,

`\begin{gathered} x<6 \\ 2y\le5x \\ y>(1)/(2)x \end{gathered}`