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

The solution to 3/2 x-1<1-3x< 4/3-5x is x< 1/6

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3/2 x-1<1-3x< 4/3-5x

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

x < \frac{1}{6}

Interval Notation

(- \infty, \frac{1}{6})

Decimal Notation

x < 0.16666 \dots

Solution steps

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

a < u < b

then

a < u and u < b

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

\frac{3}{2} x - 1 < 1 - 3 x : x < \frac{4}{9}

1 - 3 x < \frac{4}{3} - 5 x : x < \frac{1}{6}

Combine the intervals

x < \frac{4}{9} and x < \frac{1}{6}

Merge Overlapping Intervals

x < \frac{1}{6}

9 x^{2} - 2 = 0

\frac{6}{9 + i}

- \frac{3}{5} (2)

(\frac{3}{5 y ^{4}})^{- 2}

5 n = \frac{2 n}{7} - 6 + n