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

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

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

\frac{- 1}{5} \leq \frac{( 2 x )}{5} + 1 < \frac{1}{5}

- 3 \leq x < - 2

Interval Notation

[- 3, - 2)

Solution steps

\frac{- 1}{5} \leq \frac{( 2 x )}{5} + 1 < \frac{1}{5}

a \leq u < b

then

a \leq u and u < b

\frac{- 1}{5} \leq \frac{( 2 x )}{5} + 1 and \frac{( 2 x )}{5} + 1 < \frac{1}{5}

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

\frac{2 x}{5} + 1 < \frac{1}{5} : x < - 2

Combine the intervals

x \geq - 3 and x < - 2

Merge Overlapping Intervals

- 3 \leq x < - 2

- 24 < 3 x - 6 \leq - 3

19 \leq 0.3 x + 2.5 \leq 25

\frac{( n + 1 )}{h} < \frac{1}{( n - 1 )} < 1

1 \leq \frac{( ( x + 1 ) ( x - 1 ) )}{( x + 3 )} \leq 5

18 \leq x \leq 24

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