Question

Use complete sentences to explain why absx + 2 > \absx.

Answer 1

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|.

What is an expression?

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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