Question

||3x-4|-5|>1

pls solve i need help with it i give 100 points

Answer 1

`{ \tt > 1 } \\ \\ { \tt > 1 ±5}`

• Either |3x - 4| > 1 + 5 or |3x - 4| > 1 - 5

`{ \tt }`

→ for |3x - 4| > 6:

`{ \tt } \\ \\ { \tt{3x > 6±4}} \\ \\ { \boxed{ \tt{ \: x = (10)/(3) \: \: or \: \: (2)/(3) }}}`

→ for |3x - 4| > -4:

`{ \tt3x - 4} \\ \\ { \tt{3x > - 4±4}} \\ \\ { \boxed{ \tt{ \: x > 0 \: \: or \: \: - (8)/(3) }}}`