6) y < 6x + 1
The first step is to make the expression to be an equation. Thus, we have
y = 6x + 1
We would assume values for x, substitute them into the equation and solve for the corresponding y values. Thus, we have
If x = 0, y = 6 * 0 + 1 = 1
If x = 1, y = 6 * 1 + 1 = 7
If x = 2, y = 6 * 2 + 1 = 13
We would plot these values on the graph. the line on the graph would be a broken line because the inequality symbol is simply "less than"
The graph is shown below
The shaded portion was determined by testing a point. If we test the point, (0, 0), it measn that we would substitute x = 0 and y = 0 into the inequality. Thus, we have
0 < 6 * 0 + 1
0 < 1
This is true. Thus, we shaded the portion of the graph containing (0,0)