8 + I 5x - 3 I > 10

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- jackiepc1128 15.00

## Answers

## yassautumn

[latex]8 + | 5x - 3 | > 10\\ |5x-3|>2\\ 5x-3>2 \vee 5x-3<-2\\ 5x>5 \vee 5x<1\\ x>1 \vee x<\frac{1}{5}\\ x\in(-\infty,\frac{1}{5})\cup(1,\infty) [/latex]

## dalmayshuns101

[latex]8 + |5x - 3| > 10[/latex][latex]|5x - 3| > 2[/latex][latex]|5x| > 5[/latex][latex][x] > 1[/latex]

[latex]|5x-3| < -2[/latex][latex]|5x| < 1[/latex][latex]|x| < \frac{1}{5} [/latex]

[latex]1 > x < \frac{1}{5} [/latex]