Question

Need help with this one.
8 +  I  5x  -  3  I  >  10

Answer 1

`8 + | 5x - 3 | > 10\\ |5x-3|>2\\ 5x-3>2 \vee 5x-3<-2\\ 5x>5 \vee 5x<1\\ x>1 \vee x<(1)/(5)\\ x\in(-\infty,(1)/(5))\cup(1,\infty)`

Answer 2

`8 + |5x - 3| > 10`

`|5x - 3| > 2`

`|5x| > 5`

`[x] > 1`

`|5x-3| < -2`

`|5x| < 1`

`|x| < (1)/(5)`

`1 > x < (1)/(5)`