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Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5

Solve the given inequality and graph the solution on a number line. Show your work! -2x + 3 < 5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Solve the given inequality and graph the solution on a number line. Show your work!
-2x + 3 < 5

Answer:

 

The image depicts a number line ranging from -10 to 10. ### Description: - **Number Line**: A horizontal line with numbers marked at intervals. - **Range**: The number line includes both negative and positive integers, extending from -10 on the far left to 10 on the far right. - **Zero Point**: The midpoint of the line is marked as 0, serving as the reference or origin. - **Intervals**: Each integer is marked with a vertical tick, indicating the precise location of each number along the line. The intervals between each number are equal. - **Arrows at Both Ends**: Arrows are present at both ends of the line, indicating that the number line extends infinitely in both directions. This number line is a fundamental concept used in mathematics to represent integers and understand their order and magnitude.
Transcribed Image Text:The image depicts a number line ranging from -10 to 10. ### Description: - **Number Line**: A horizontal line with numbers marked at intervals. - **Range**: The number line includes both negative and positive integers, extending from -10 on the far left to 10 on the far right. - **Zero Point**: The midpoint of the line is marked as 0, serving as the reference or origin. - **Intervals**: Each integer is marked with a vertical tick, indicating the precise location of each number along the line. The intervals between each number are equal. - **Arrows at Both Ends**: Arrows are present at both ends of the line, indicating that the number line extends infinitely in both directions. This number line is a fundamental concept used in mathematics to represent integers and understand their order and magnitude.
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