A phrase that describes a set of real number is

Michelle Arroyo

Michelle Arroyo

Answered question

2021-12-06

A phrase that describes a set of real number is given. Express the phrase as an inequality involving an absolute value.
All real numbers x at least 5 units from 7

Answer & Explanation

George Morin

George Morin

Beginner2021-12-07Added 13 answers

Step 1
All real numbers x at least 5 units from 7 that is,
x7+5x75
x75x75
Step 2
We know that |u|aua or ua...(3)
Since we have,
x7+5x75...(1)
x75x75...(2)
So using (1), (2) and (3) we can write,
|x7|5
Step 3
Hence
|x7|5

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