364,530 views
10 votes
10 votes
Question:

|x-2|, if x > 5
simplify without the absolute value sign

User Steven Bayer
by
3.1k points

1 Answer

19 votes
19 votes

Answer:

x - 2, if x > 5

Explanation:

The vertical lines either side of the expression mean absolute value.

The absolute value of a number is its positive numerical value.

if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive. Therefore, we can disregard the absolute value.

Therefore:

x - 2, if x > 5

To find the range (output values) of the expression, substitute x = 5 into the expression:

⇒ 5 - 2 = 3

Therefore, |x - 2| > 3, if x > 5

Question: |x-2|, if x > 5 simplify without the absolute value sign-example-1
Question: |x-2|, if x > 5 simplify without the absolute value sign-example-2
User Gleichmut
by
2.9k points