122k views
4 votes
Question:

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

1 Answer

5 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 Hhrzc
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories