OPEN SENTENCE

Open Sentence

Definition Of Open Sentence

Open sentence is a mathematical sentence that contains one or more variables.

Example on Open Sentence

The following are some examples of open sentence.
3x = 5 + y, 11 = 8z,
2a + 4 = b + c

Video Examples: Open Sentences

Solved Example on Open Sentence

Ques: Is '4(4s) = 3' an open sentence?

Choices:

A. Yes
B. No
Correct Answer: A

Solution:

Step 1: The equation has one variable.
Step 2: A mathematical sentence with one or more variables is called an open sentence.
Step 3: So, '4(4s) = 3' is an open sentence.

Quick Summary

Contains variables
Truth value depends on variable values

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🍎 Teacher Insights

Emphasize the difference between open sentences and equations with known solutions. Use real-world examples to illustrate the concept.

🎓 Prerequisites

Variables
Equations

Check Your Knowledge

Q1: Which of the following is an open sentence?

2 + 3 = 5 x + 2 = 7 4 > 2 1 + 1 = 3

Q2: Is '5 * y = 10' an open sentence?

Yes No

Frequently Asked Questions

Q: What is the difference between an open sentence and an equation?
A: An open sentence may or may not be an equation. It simply contains variables. An equation is a statement that two expressions are equal.

Q: How do you solve an open sentence?
A: Solving an open sentence involves finding the value(s) of the variable(s) that make the sentence true.