Linear inequalities are functions where the highest exponent of the variable is ‘1’. Linear inequations have ‘greater than’ or ‘lesser than’ signs. Graphing a linear inequation includes the same procedure as linear equations, except there will be a shading region. Graph linear inequality calculator is the online tool helpful in graphing inequations.
Example 1: Graph the linear inequation x ≥ 0 on the X-Y plane.
Given inequation: x ≥ 0
Example 2: Give the solution for the linear inequation, 2x – 4 < 0
Given linear inequation: 2x – 4 < 0
Applying the same rules of solving an equation for the above inequation, we get
2x – 4 < 0 èAdd 4 on both sides
2x < 4 è Divide by 2 on both sides
2x/2 < 4/2
x < 2
The solution in interval notation (-∞, 2)
Example 1: Graph the linear inequation x ≥ 0 on the X-Y plane.
Given inequation: x ≥ 0
Example 2: Give the solution for the linear inequation, 2x – 4 < 0
Given linear inequation: 2x – 4 < 0
Applying the same rules of solving an equation for the above inequation, we get
2x – 4 < 0 èAdd 4 on both sides
2x < 4 è Divide by 2 on both sides
2x/2 < 4/2
x < 2
The solution in interval notation (-∞, 2)
