emilycvaldez0182 emilycvaldez0182
  • 11-08-2021
  • Mathematics
contestada

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

Solve the inequality 4w 26gt8 PLEASE HELP class=

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Witcher3
Witcher3 Witcher3
  • 21-08-2021

Hi ;-)

[tex]|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}[/tex]

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spammingallowed
spammingallowed spammingallowed
  • 22-08-2021

Answer:

[tex] |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[/tex]

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