__Algebraic Sentences__**:**

We know that algebraic sentences give relation between two algebraic expressions. For example , in this sentence, it is stated that and have the same sense.

Following are the few examples of algebraic sentences:

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

__Types of Algebraic Sentences__**:**

- Correct Sentences (True Sentences)
- Incorrect Sentences (False Sentences)
- Open Sentences

**Following are the Correct (True) Sentences**:

1)

2)

3)

4)

5)

**Following are the Incorrect (False) Sentences**:

1)

2)

3)

4)

5)

**Following are the Open Sentences**:

1)

2)

3)

4)

5)

All the above mentioned sentences are such that each one is true for some numerical value but not for all numerical values of variable. For example take . The sentence is true for but not true for any other than .

Hence the sentences which are true for some numerical values of variable, but not for all, are called open sentences.

__Equations and In-Equalities__**:**

Consider the following open sentences

In (1), (2) and (3) symbol is used. In other cases the symbol or is used. The sentences in which symbol is used are called equations and When the symbol or is used, the sentences are called in-equalities.

e.g. (4), (5) (6) are inequalities.