What is -1/10 < 1/2-2/5 x<= 4/2 ?

The solution to -1/10 < 1/2-2/5 x<= 4/2 is -15/4 <= x< 3/2

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-1/10 < 1/2-2/5 x<= 4/2

- \frac{1}{10} < \frac{1}{2} - \frac{2}{5} x \leq \frac{4}{2}

- \frac{15}{4} \leq x < \frac{3}{2}

Interval Notation

[- \frac{15}{4}, \frac{3}{2})

Decimal Notation

- 3.75 \leq x < 1.5

Solution steps

- \frac{1}{10} < \frac{1}{2} - \frac{2}{5} x \leq \frac{4}{2}

a < u \leq b

then

a < u and u \leq b

- \frac{1}{10} < \frac{1}{2} - \frac{2}{5} x and \frac{1}{2} - \frac{2}{5} x \leq \frac{4}{2}

- \frac{1}{10} < \frac{1}{2} - \frac{2}{5} x : x < \frac{3}{2}

\frac{1}{2} - \frac{2}{5} x \leq \frac{4}{2} : x \geq - \frac{15}{4}

Combine the intervals

x < \frac{3}{2} and x \geq - \frac{15}{4}

Merge Overlapping Intervals

- \frac{15}{4} \leq x < \frac{3}{2}

4 v^{2} + 12 v + 9

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

- 11 \cdot - 11

x - \frac{2 - x}{3} = - \frac{x + 1}{3} + \frac{3}{2}

∣ 2 (x - 1) + 8 ∣ \leq 26

What is -1/10 < 1/2-2/5 x<= 4/2 ?
The solution to -1/10 < 1/2-2/5 x<= 4/2 is -15/4 <= x< 3/2