What is ((4-2x))/3 <((3x-1))/4 <= 5-x ?

The solution to ((4-2x))/3 <((3x-1))/4 <= 5-x is 19/17 <x<= 3

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((4-2x))/3 <((3x-1))/4 <= 5-x

\frac{( 4 - 2 x )}{3} < \frac{( 3 x - 1 )}{4} \leq 5 - x

\frac{19}{17} < x \leq 3

Interval Notation

(\frac{19}{17}, 3]

Decimal Notation

1.11764 \dots < x \leq 3

Solution steps

\frac{( 4 - 2 x )}{3} < \frac{( 3 x - 1 )}{4} \leq 5 - x

a < u \leq b

then

a < u and u \leq b

\frac{( 4 - 2 x )}{3} < \frac{( 3 x - 1 )}{4} and \frac{( 3 x - 1 )}{4} \leq 5 - x

\frac{4 - 2 x}{3} < \frac{3 x - 1}{4} : x > \frac{19}{17}

\frac{3 x - 1}{4} \leq 5 - x : x \leq 3

Combine the intervals

x > \frac{19}{17} and x \leq 3

Merge Overlapping Intervals

\frac{19}{17} < x \leq 3

0.4 < x - \frac{7}{5} \leq \frac{5}{3}

- 8 > y > 12

\frac{- ( 5 )}{3} \leq x < e

8.1 < y < 8.2

- 3 < x - 1 \leq 5

What is ((4-2x))/3 <((3x-1))/4 <= 5-x ?
The solution to ((4-2x))/3 <((3x-1))/4 <= 5-x is 19/17 <x<= 3