The value of |x| + 2 is always positive and greater than |x|.
The correct question is as below:-
Use complete sentences to explain why |x| + 2 > |x|.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression is as follows:-
|x| + 2 > |x|.
Here x is in the mode so any number either negative or positive it will always give you a positive number. For an example put x = -5 in the above expression.
|-5| + 2 > | -5 |
5+ 2 > 5
7 > 5
Put -1 at the place of x
|-1| + 2 > |-1|
1 + 2 > 1
3 .> 1
As we can see in the above two examples for every value of x there will be a positive number and the value of |x|+2 is always greater than |x|.
Therefore the value of |x| + 2 is always positive and greater than |x|.
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