# Inequality Calculator

Inequality calculator helps to calculate the value of the variable as per the given inequality. Inequality is a relationship that draws a comparison between two numbers or algebraic expressions. Unlike equations, the mathematical expressions in inequalities are not equal.

## What is Inequality Calculator?

Inequality Calculator is an online tool that helps to compute the values of the variable for the given inequality. In an inequality, the two expressions are connected to each other by using the "greater than", "lesser than", or "equal to" signs. To use this *inequality*** calculator**, enter values in the input boxes.

### Inequality Calculator

## How to Use Inequality Calculator?

Please follow the steps below to find the value of the variable for the given inequality using the online inequality calculator:

**Step 1:**Go to Cuemath’s online inequality calculator.**Step 2:**Enter the inequality in the input box of the inequality calculator.**Step 3:**Click on the**"Solve"**button to calculate the value of the variable for the given inequality.**Step 4:**Click on the**"Reset"**button to clear the fields and enter new values.

## How does Inequality Calculator Work?

The mathematical expressions in which both sides are not equal are called **inequalities**. If two algebraic expressions have an "equal to" sign between them, it indicates that the two quantities are equal. However, when two unequal quantities have to be compared, inequalities are used. Given below are the steps to solve an inequality.

- If there are any fractions in the inequality, multiply all the terms by the denominator of that fraction.
- Shift all the terms with variables (here x) to one side of the inequality (say left-hand side or L.H.S).
- Shift all the constant terms to the other side or R.H.S (right-hand side).
- Solve the L.H.S using arithmetic operations.
- Further, solve the R.H.S to get one term. If the variable on the L.H.S does not have a coefficient this will be the solution to the inequality.
- If the variable has a coefficient, divide the R.H.S by this value to get the answer.

## Solved Examples on Inequality Calculator

**Example 1:**

Solve the given inequality 2x + 5 > 11 and verify it using the inequality calculator?

**Solution**:

Given: Equation is 2x + 5 > 11

Combine like terms on each side of inequality i.e., variable and constants

2x > 11 - 5

2x > 6

x > 3

**Example 2:**

Solve the given inequality 2x - 6 < 12x + 14 and verify it using the inequality calculator?

**Solution**:

Given: Equation is 2x - 6 < 12x + 14

Combine like terms on each side of inequality i.e., variable and constants

2x - 12x < 14 + 6

-10x < 20

-x < 2

To convert the negative variable to positive we multiply the inequality by a negative sign. This gives us.

x > -2

Now, try the inequality calculator and find the value of the variable for the following:

- 5x - 7 < 4x + 5
- 2x + 18 > 4x

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