Equation and Inequation both are different terms. The signs used to represent equations and inequations are different. Let us see the definition, representation, examples, conditions, etc things in this article. Let us discuss deep regarding the Difference Between Equation and Inequation. Students can also access 10th grade math concepts on our website. Check out all the concepts, worksheets, and practice questions for free and access all of them either online or offline.
Also, find:
- Solving a Linear Inequation Algebraically
- Worksheet on Laws of Inequality
- Worksheet on Solution of a Linear Inequation in One Variable
What are Equations?
Equations are nothing but the mathematical expressions or statements which represent the equality of variables on the left or right side of the given statements. The sign used to represent the equations is “=”. The solution of an equation will always be unitary that shows the equality between the left and right sides. An equation may also contain more than one variable.
Let us consider an algebraic equation ax + b = c where x is a variable and a, b, and c are constants. We can easily find out the value of the x by solving the given equation ax + b = c.
Examples:
(i) a + 7 = 12 where a is variable 7 and 12 are constants. The a + 7 and 12 are both algebraic expressions separated by the = symbol.
(ii) 3a + 4 = 31 where a is variable 3, 4, and 31 are constants. The 3a + 4 and 31 are both algebraic expressions separated by the = symbol.
What are Inequalities?
Inequalities are nothing but the mathematical expressions or statements which represent the unequal relationship of variables on the left or right side of the given statements. The sign used to represent the Inequalities are “<, >, ≤, and ≥”. The inequalities are commonly used to compare different integers, variables, and also other algebraic expressions. An inequation may also contain more than one variable.
Let us consider an algebraic equation ax + b < c where x is a variable and a, b, and c are constants.
Similar algebraic expressions are ax + b > c which means the value of ax + b is greater than the value of c.
ax + b ≤ c, and
ax + b ≥ c.
Examples:
(i) 4x + 5 ≥ 12 where x is variable 4, 5, and 12 are constants. The 4x + 5 and 12 are both algebraic expressions separated by the ≥ symbol.
(ii) 5m + 9 < 64 where m is variable 5, 9, and 64 are constants. The 5m + 9 and 64 are both algebraic expressions separated by the = symbol.
Simple inequation: If any inequation consists of a known quantity of power one, then it is known as a Simple inequation. Examples of simple inequations are 10x + 14 > 20, 12x – 16 ≥ 46, 10x + 6 ≤ 24 etc.
What are the differences between Equation and Inequation?
| Equations | Inequations |
|---|---|
| (i) It is a mathematical statement that shows the equality of the variables present in the given equation. | (i) It is a mathematical statement that shows the inequality of the variables present in the given equation. |
| (ii) The symbol used to represent the equation and relation between variables is ‘=’. | (ii) The symbols used to represent the inequation are ‘<, >, ≤, ≥’. |
| (iii) An equation has a fixed and singular solution. | (iii) An inequality consists of a solution set with infinite answers. |
| (iv) The total number of roots available for equalities is definite. | (iv) The total number of roots available for inequalities is infinite. |
Frequently Asked Questions and Answers
Question 1. What is an Inequation in math?
An inequation in mathematics represents the comparison between values or variables which are not equal.
Question 2. What are the four steps for solving an equation?
The four steps to solve an equation are Adding, subtracting, multiplication, and division.
Question 3. What is the difference between linear equation and expression?
The difference between the linear equation and expression is that the linear equation consists of an equal sign in the expression.
Question 4. What are the symbols used to represent less than or equal and greater than or equal?
The symbols used to represent less than or equal and greater than or equal are ≤ and ≥.
Read all the differences between equations and inequations and understand how to solve them simply. We have all the related concepts to equations and inequations on our website.