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Popular >

7/2 >(1-4x)/5 > 3/2

Solution

\frac{7}{2} > \frac{1 - 4 x}{5} > \frac{3}{2}

Solution

- \frac{33}{8} < x < - \frac{13}{8}

+2

Interval Notation

(- \frac{33}{8}, - \frac{13}{8})

Decimal Notation

- 4.125 < x < - 1.625

Solution steps

\frac{7}{2} > \frac{1 - 4 x}{5} > \frac{3}{2}

If

a > u > b

then

a > u and u > b

\frac{7}{2} > \frac{1 - 4 x}{5} and \frac{1 - 4 x}{5} > \frac{3}{2}

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

\frac{1 - 4 x}{5} > \frac{3}{2} : x < - \frac{13}{8}

Combine the intervals

x > - \frac{33}{8} and x < - \frac{13}{8}

Merge Overlapping Intervals

- \frac{33}{8} < x < - \frac{13}{8}

Popular Examples

x^{3} - 25 x > 0

factor 12x^2+28x+8 factor

12 x^{2} + 28 x + 8

factor 7a^2+12a-4 factor

7 a^{2} + 12 a - 4

-17x^2-72x-384=0

- 17 x^{2} - 72 x - 384 = 0

simplify ((9r^3a^2+6r^2a^2-27r))/(3r^2a)simplify

\frac{( 9 r ^{3} a ^{2} + 6 r ^{2} a ^{2} - 27 r )}{3 r ^{2} a}

Frequently Asked Questions (FAQ)

What is 7/2 >(1-4x)/5 > 3/2 ?
The solution to 7/2 >(1-4x)/5 > 3/2 is -33/8 <x<-13/8