(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I saw this in my real analysis text book and I have been trying to understand how this equation [tex]\left | x-c \right |< 1 [/tex]

you can get this:[tex] \left | x \right |\leq \left | c \right | + 1[/tex]

2. Relevant equations

I wanted to know what steps made this possible , particularly why it changed from [tex]< to \leq [/tex]

3. The attempt at a solution

My thinking was that, they did this because it makes no difference as to if you put [tex]< or \leq [/tex]

Any help is appreciated!

Thanks

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Absolute Values and Inequality understanding

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