What is 2/5 x-3<(1-6x)-15<5(3-x/3) ?

The solution to 2/5 x-3<(1-6x)-15<5(3-x/3) is -87/13 <x<-55/32

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2/5 x-3<(1-6x)-15<5(3-x/3)

\frac{2}{5} x - 3 < (1 - 6 x) - 15 < 5 (3 - \frac{x}{3})

- \frac{87}{13} < x < - \frac{55}{32}

Interval Notation

(- \frac{87}{13}, - \frac{55}{32})

Decimal Notation

- 6.69230 \dots < x < - 1.71875

Solution steps

\frac{2}{5} x - 3 < (1 - 6 x) - 15 < 5 (3 - \frac{x}{3})

a < u < b

then

a < u and u < b

\frac{2}{5} x - 3 < (1 - 6 x) - 15 and (1 - 6 x) - 15 < 5 (3 - \frac{x}{3})

\frac{2}{5} x - 3 < 1 - 6 x - 15 : x < - \frac{55}{32}

1 - 6 x - 15 < 5 (3 - \frac{x}{3}) : x > - \frac{87}{13}

Combine the intervals

x < - \frac{55}{32} and x > - \frac{87}{13}

Merge Overlapping Intervals

- \frac{87}{13} < x < - \frac{55}{32}

- 6 + 12 x > 15 x + 4

z^{2} - 12 z = - 11

(\frac{x ^{2}}{y ^{2}})^{- 1}

\frac{- 2 z - 3}{3} < 5

\frac{x + 9}{2} \geq 9

What is 2/5 x-3<(1-6x)-15<5(3-x/3) ?
The solution to 2/5 x-3<(1-6x)-15<5(3-x/3) is -87/13 <x<-55/32