Describe all numbers x that are at a distance

Jesse Bettis

Jesse Bettis

Answered question

2022-07-31

Describe all numbers x that are at a distance of 2 from the number 10. Express this using absolute value notation.

Answer & Explanation

Nick Camelot

Nick Camelot

Skilled2023-06-11Added 164 answers

To describe all numbers x that are at a distance of 2 from the number 10, we can use absolute value notation.
The absolute value of a number represents its distance from zero on the number line. In this case, we want to find the numbers x that are 2 units away from 10.
Using absolute value notation, we can express this as:
|x10|=2
This equation states that the absolute value of the difference between x and 10 is equal to 2.
To find the values of x that satisfy this equation, we can consider two cases:
Case 1: x - 10 = 2
Solving for x in this case:
x=2+10=12
Case 2: x - 10 = -2
Solving for x in this case:
x=2+10=8
Therefore, the numbers x that are at a distance of 2 from the number 10 are x = 12 and x = 8.

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