Explanation:
Change the sign of inequality to sign of equation.
First step:
Calculate the coordinates of two points of a line.
Choice any two values of x, put it to the equation and calculate the values of y.
Example:
y > 2x + 1 → y = 2x + 1
for x = 0 → y = 2(0) + 1 = 0 + 1 = 1 → (0, 1)
for x = -1 → y = 2(-1) + 1 = -2 + 1 = -1 → (-1, -1)
Draw a line passing through the given points.
If is < or >, then draw dot line.
If is ≤ or ≥, then draw solid line.
In our example, we have an inequality sign: >. Therefore, draw a dot line.
Second step:
Shading region:
If is < or ≤ - shading to the left.
If is > or ≥ - shading to the right.
In our example, we have an inequality sign: >. Therefore, shading to the right.