Solve the inequality: |4w – 2|-6>8 PLEASE HELP

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Victorvartan asked May 19, 2022

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31 votes

Solve the inequality: |4w – 2|-6>8 PLEASE HELP

Mathematics
college

Victorvartan asked May 19, 2022

by Victorvartan

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2 Answers

25 votes

Answer:

$|4w - 2| - 6 > 8 \\ |4w - 2| > 8 + 6 \\ |4w - 2| > 14 \\ remove \: mode \\ then \: two \: possibilities \\ 4w - 2 > 14 \: or \: 4w - 2 > - 14 \\ 4w > 14 + 2 \: or \: 4w > - 14 + 2 \\ 4w > 16 \: or \: 4w > - 12 \\ w > 4 \: or \: w > - 3 \\ then \: option \: (1) \\ thank \: you$

Kaspersky answered May 19, 2022

by Kaspersky

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13 votes

Hi ;-)

$|4w-2|-6>8 \ \ /+6\\\\|4w-2|>14\\\\4w-2>14 \ \text{or} \ 4w-2<-14\\\\4w>14+2 \ \text{or} \ 4w<-14+2\\\\4w>16 \ /:4 \ \text{or} \ 4w<-12 \ \ /:4\\\\\huge\boxed{w>4 \ \text{or} \ w<-3}$