The given inequality is expressed as
4y + 5x ≥ 4y - 30
Subtracting 4y from both sides of the inequality, we have
4y - 4y + 5x ≥ 4y - 4y - 30
5x ≥ - 30
Dividing both sides of the inequality by 5, we have
x ≥ = - 6
By interpretation, the values of x that satisfies the inequality includes - 6 and all values greater than - 6(to the right of - 6 on the graph)
The diagram of the graph is shown below
Thus,
boundary line is solid
Two points on the boundary line are
(- 6, 0) and (- 6, - 5)
The shaded region is to the right of x = - 6