Absolute- Value Equations and Inequalities

[Kriston]

First off, I've been working on some of these problems and the book I'm taking the exercises out of does not show enough examples for me to clearly understand what they are doing. So, I'm going to post the steps I did in solving this problem and any help would be greatly appreciated.

Problem: 5|3a-4|+1<6

I actually posted the wrong side of the equation sorry about that.

The book is giving me a different answer says a>1

 

[BigGlenntheHeavy]

\(\displaystyle 5|3a-4|+1>-6, \ always \ true\)

\(\displaystyle Is \ this \ a \ trick \ question? \ Look, \ |3a-4| \ is \ always \ greater \ or \ equal \ to \ zero.\)

\(\displaystyle So, \ worst \ case \ scenario, \ |3a-4| \ = \ 0, \ then \ we \ have \ (5)(0)+1>-6, \ always \ true.\)

\(\displaystyle Did \ you \ post \ the \ problem \ correctly?\)

 

[Kriston]

I understand it now I forgot that the absolute - value of something is the distance from X to 0 on a number line. I think the book answer may be wrong I'm not sure.