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

The solution to 7/2 >(1-4x)/5 > 5/2 is -33/8 <x<-23/8

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

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

- \frac{33}{8} < x < - \frac{23}{8}

Interval Notation

(- \frac{33}{8}, - \frac{23}{8})

Decimal Notation

- 4.125 < x < - 2.875

Solution steps

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

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

\frac{1 - 4 x}{5} > \frac{5}{2} : x < - \frac{23}{8}

Combine the intervals

x > - \frac{33}{8} and x < - \frac{23}{8}

Merge Overlapping Intervals

- \frac{33}{8} < x < - \frac{23}{8}

- 6^{0} (n^{0} - 4) - 2 (n - 4) = - 3 (n + 2^{0})

24 - 5 v = 8

(\frac{1}{4})^{\frac{- 1}{2}}

2 (x - 3) = 8

4 x + 5 > 8

What is 7/2 >(1-4x)/5 > 5/2 ?
The solution to 7/2 >(1-4x)/5 > 5/2 is -33/8 <x<-23/8