Question

How do you graph a linear inequality?

Answer 1

Step-by-step 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.