Question

what point satisfies the inequality of Y < -4x + 3 and indicates side of the inequality should be shaded

Answer 1

First, we plot the graph of the equation y=-4x+3, to do this, we only need two points

`\begin{gathered} x=0\text{ , y=-4(0)+3=3} \\ (0,3) \\ x=1,\text{ y=-4(1)+3=-1} \\ (1,-1) \end{gathered}`

In green it is shaded the ponts that satisfy the inequality, that is because the y value must be below (that's why it has the sigh <) this graph.