What is 7/2 >((1-4x))/5 > 1/2 ?

The solution to 7/2 >((1-4x))/5 > 1/2 is -33/8 <x<-3/8

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7/2 >((1-4x))/5 > 1/2

\frac{7}{2} > \frac{( 1 - 4 x )}{5} > \frac{1}{2}

- \frac{33}{8} < x < - \frac{3}{8}

Interval Notation

(- \frac{33}{8}, - \frac{3}{8})

Decimal Notation

- 4.125 < x < - 0.375

Solution steps

\frac{7}{2} > \frac{( 1 - 4 x )}{5} > \frac{1}{2}

a > u > b

then

a > u and u > b

\frac{7}{2} > \frac{( 1 - 4 x )}{5} and \frac{( 1 - 4 x )}{5} > \frac{1}{2}

\frac{7}{2} > \frac{1 - 4 x}{5} : x > - \frac{33}{8}

\frac{1 - 4 x}{5} > \frac{1}{2} : x < - \frac{3}{8}

Combine the intervals

x > - \frac{33}{8} and x < - \frac{3}{8}

Merge Overlapping Intervals

- \frac{33}{8} < x < - \frac{3}{8}

- 15 \leq 3 x - 6 \leq 15

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

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

- 8 > y > 12

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

What is 7/2 >((1-4x))/5 > 1/2 ?
The solution to 7/2 >((1-4x))/5 > 1/2 is -33/8 <x<-3/8