Question

Y< 1/4x and y< -6x+6 are graphed on the coordinate plane

Answer 1

See attachment

Explanation:

To graph

`y \: < \: (1)/(4) x`

You first graph the boundary line

`y = (1)/(4) x`

This is a dashed line going through the origin with slope 1/4.

We test the point (0,1) to get: 1<0 which is false. So we shade the lower half-plane.

To graph

`y \: < \: - 6x + 6`

We first graph line

`y = - 6x + 6`

By plotting (0,6), and (1,0)

We draw a dashed boundary line.

We test the origin:

0<6 which is true so we shade the left half-plane .

The intersection of both shaded regions represent the solution set.

The graph us shown in attachment.