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A point on a number line is at least 13.4 units from the point with coordinate 2.  a) Write an inequality that represents the situation on your paper. b) What are all the possible values, x, of the coordinate of the point?

A point on a number line is at least 13.4 units from the point with coordinate 2.  a) Write an inequality that represents the situation on your paper. b) What are all the possible values, x, of the coordinate of the point?

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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A point on a number line is at least 13.4 units from the point with coordinate 2. 

a) Write an inequality that represents the situation on your paper.

b) What are all the possible values, x, of the coordinate of the point? 

 
 
Expert Solution
Step 1

Given:

A point on a number line is at least 13.4 units from the with coordinate 2.

To find:

a) Inequality represents the situation.

b) Possible values of such x.

Note:

The English word "at least" denotes the mathematical relation as "greater than or equal ≥".

The English word, "at most" denotes the mathematical relation as "less than or equal.

Absolute Function:

x=x,x≥0-x,x<0 

 

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