What is -2<= (x-1)/3+(x+1)/5 <0 ?

The solution to -2<= (x-1)/3+(x+1)/5 <0 is -7/2 <= x< 1/4

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-2<= (x-1)/3+(x+1)/5 <0

- 2 \leq \frac{x - 1}{3} + \frac{x + 1}{5} < 0

- \frac{7}{2} \leq x < \frac{1}{4}

Interval Notation

[- \frac{7}{2}, \frac{1}{4})

Decimal Notation

- 3.5 \leq x < 0.25

Solution steps

- 2 \leq \frac{x - 1}{3} + \frac{x + 1}{5} < 0

a \leq u < b

then

a \leq u and u < b

- 2 \leq \frac{x - 1}{3} + \frac{x + 1}{5} and \frac{x - 1}{3} + \frac{x + 1}{5} < 0

- 2 \leq \frac{x - 1}{3} + \frac{x + 1}{5} : x \geq - \frac{7}{2}

\frac{x - 1}{3} + \frac{x + 1}{5} < 0 : x < \frac{1}{4}

Combine the intervals

x \geq - \frac{7}{2} and x < \frac{1}{4}

Merge Overlapping Intervals

- \frac{7}{2} \leq x < \frac{1}{4}

7 x^{1} - 8 x^{2} = 9

- (\frac{5}{8})^{- 2}

0 \leq x^{2} + 1

9 (n + 2) - 5 n \geq 34

x^{2} - 8 x + 16 = 11

What is -2<= (x-1)/3+(x+1)/5 <0 ?
The solution to -2<= (x-1)/3+(x+1)/5 <0 is -7/2 <= x< 1/4