Explain how to solve inequalities.
In mathematics, inequalities are used to compare two values or expressions. It can be greater than, less than, greater than equal to, less than equal to, or equal to.
Answer: With the help of an example, the concept of inequality has been explained.
Let us proceed step by step.
Algebra is one of the important and diverse topics in mathematics.
Inequality does not change while adding or subtracting any number or variable to both sides.
While multiplying or dividing by a positive number or variable both sides do not change the sign but if the negative number or variable is multiplied or divided on both sides then the sign gets reversed.
We can understand better by taking a suitable example.
Let us consider an inequality 2x - 3 > x + 2
⇒ 2x - 3 > x + 2
⇒ 2x - x > 2 + 3
⇒ x > 5
Hence, x satisfies all the values greater than 5 for the given inequality.