Question

Can someone please me how to solve
`|a|\ \textgreater \ 2`

Answer 1

Step-by-step Answer:

Whenever we have a problem like this, we can have 2 solutions (either one can work) because, in absolute equations, we need to find how far away the number is from 0.

So the answer would simply be that a>2 and a<-2

a can be anything greater than 2 or a can be anything less than 2

The image below might help to better understand

Answer 2

`|a| \to \: is \: the \: absolute \: value \: of \: a .`

Explanation:

`|a| \to \: is \: the \: absolute \: value \: of \: a \\ if \: a \: is \: - 5 : then : \\ |a| = | - 5| = 5.\\ if \: a \: is \: 5 : then : \\ |a| = | 5| = 5. \\ \\ but \: \\ when \: its \: - |a| \\ if \: a \: is \: - 5 : then : \\ - |a| = - | - 5| = - 1 * 5 = \boxed{ - 5}.\\ if \: a \: is \: 5 : then : \\ - |a| = - | 5| = - 1 * 5 = boxed{ - 5}.`

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