Question

Inequality of |x+5| > -1

Answer 1

To solve the inequality |x+5| > -1, we can follow these steps:

Step 1: Recognize that the absolute value of any number is always non-negative. This means that |x+5| cannot be less than 0.

Step 2: Since -1 is less than 0, we can conclude that |x+5| > -1 is true for all values of x.

In other words, the inequality |x+5| > -1 holds true for all real numbers. No matter what value of x we choose, the absolute value of x+5 will always be greater than -1.

So, the solution to the inequality |x+5| > -1 is the set of all real numbers.

I hope this helps! Let me know if you have any further questions.

Answer 2

The absolute value is always non-negative. Therefore
`x\in\mathbb{R}`.