will give ! the graph below shows the solution to a system of inequalities: which of the following inequalities is modeled by the graph? 4x − 3y ≤ 12; x ≥ 0 4x + 3y ≤ 12; x ≥ 0 4x + 3y ≥ 12; x ≥ 0 −4x − 3y ≤ 12; x ≥ 0

The inequality that models the graph is:

        4x + 3y ≤ 12   ;   x ≥ 0

By looking at the graph we see that the first system of inequality is a straight solid line( this means that the inequality is not strict) that passes through (3,0) and (0,4) and the shaded region is below the line i.e. towards the origin this means that it passes the zero point test.

Hence, the inequality is:

            4x + 3y ≤ 12

Also, the second inequality is  x≥0

( since the region to the right of y-axis is covered)

        Hence, the answer is:

           4x + 3y ≤ 12  ;   x ≥ 0