Mathematics: ||3x-4|-5| 1 pls solve i need help with it i give 100 points

||3x-4|-5| 1 pls solve i need help with it i - id345114502676, Madisonk2980

kacr7292

04.10.2021

${ \tt{ | |3x - 4| - 5 | 1 }} \\ \\ { \tt{ |3x - 4| 1 ±5}}$

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

${ \tt{ |3x - 4| 6 \: \: or \: \: - 4}}$

→ for |3x - 4| > 6:

${ \tt{ |3x - 4| 6}} \\ \\ { \tt{3x 6±4}} \\ \\ { \boxed{ \tt{ \: x = \frac{10}{3} \: \: or \: \: \frac{2}{3} }}}$

→ for |3x - 4| > -4:

${ \tt{ |3x - 4| - 4}} \\ \\ { \tt{3x - 4±4}} \\ \\ { \boxed{ \tt{ \: x 0 \: \: or \: \: - \frac{8}{3} }}}$

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aaqa3735

25.07.2021

Step-by-step explanation:

the 2nd line can be rewritten as y < x-3

So, any value that is less than both 4x+4 and x-3 will work

Pick any value you want for x, and figure y possibilities

x=0; x-3=-3, 4x+4=4, so y<-3 ... (0,-5) will work

I'm sure you can now come up with other pairs.

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