The absolute value of a number returns the positive value of the given number. A real life situation that describes the scenario is:
"the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point."
Given that:
[tex]x = 5\ or\ x = 10[/tex]
An example of real life situation is as follows:
Calculate the point which a boy stands if the boy is standing 2.5 meters away from the 7.5 meters point.
Represent the point at which the boy stays with x. So, the situation is represented as:
[tex]|x - 7.5| = 2.5[/tex]
Remove absolute brackets
[tex]x - 7.5 = 2.5\ or\ x - 7.5 = -2.5[/tex]
Solve for x
[tex]x = 7.5+2.5\ or\ x = 7.5-2.5[/tex]
[tex]x = 10\ or\ x = 5[/tex]
Hence, the value of x is 5 or 10
Read more absolute values at:
https://brainly.com/question/1301718
