Linear Equations and Inequalities Calculator

Equations in which the unknown only appear to the first power are called linear equations. The general form of a linear equation in one variable is ax + b = 0, where x is the variable.

A linear inequality resembles an equation by replacing the equal sign with an inequality symbol. Generally, a range of values, rather than one specific value will be the solution to a linear inequality. Some of the examples of Linear Inequation are listed below.

• x < 7
• 5 - y ≥ 30
• x + 5 > 20
• Q ≠ 50

Steps for Linear Inequalities Graphing

The linear inequality graph intersects the coordinate plane into two parts by a borderline. In order to plot the graph of an inequality, we have to follow some basic steps:

• Firstly, check if the given linear inequality equation is arranged properly or not.
• If not rearrange the equation, where the variable will be on the left side and the rest of the expression on the right side of the inequality symbol
• In this step, put the x values in the equation and plot the graph.
• Retain to draw a solid line for y≤ or y≥ and a dashed line for y< or y>.
• Finally, shade the line as per inequalities, like above the line for a “greater than” (y> or y≥) and below the line for a “less than” (y< or y≤).

Steps for Solving One Variable Linear Equations and Inequations

To solve the linear equation or inequality having only one variable, the steps provided below are followed to balance the equation:

• Firstly, add or subtract like terms
• Isolate the variable
• Reverse or eliminate the terms
• Check the answer.

Example:

Find inequality for 6x + 4 > 28

Solution:

Put the variable on the LHS and reverse all the other terms or the coefficient of x to the RHS.

6x > 28 - 4

6x > 24

 ⇒ x > 4

Hence, the value of x is greater than 4.

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