Question

Which graph shows the solution to the system of linear inequalities below? Y>-1/3x+2. Y>2x-3

Answer 1

The graph that shows the solution to the system of linear inequalities is:

Graph D.

Explanation:

We are given first inequality as:

`y>(-1)/(3)x+2`

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)

Second inequality is given by:

`y>2x-3`

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test)

On plotting it's graph we get the solution.

Hence, the solution is represented by:

Graph D