What is -1<((4-5x))/3 <= 7 ?

The solution to -1<((4-5x))/3 <= 7 is -17/5 <= x< 7/5

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-1<((4-5x))/3 <= 7

- 1 < \frac{( 4 - 5 x )}{3} \leq 7

- \frac{17}{5} \leq x < \frac{7}{5}

Interval Notation

[- \frac{17}{5}, \frac{7}{5})

Decimal Notation

- 3.4 \leq x < 1.4

Solution steps

- 1 < \frac{( 4 - 5 x )}{3} \leq 7

a < u \leq b

then

a < u and u \leq b

- 1 < \frac{( 4 - 5 x )}{3} and \frac{( 4 - 5 x )}{3} \leq 7

- 1 < \frac{4 - 5 x}{3} : x < \frac{7}{5}

\frac{4 - 5 x}{3} \leq 7 : x \geq - \frac{17}{5}

Combine the intervals

x < \frac{7}{5} and x \geq - \frac{17}{5}

Merge Overlapping Intervals

- \frac{17}{5} \leq x < \frac{7}{5}

- 4 < 3 x + 2 \leq 5

9 < 2 - 4 x < 12

1 < 3 x - 5 < 2

- x < 3 x - 8 < x

6 < \frac{( 2 ( x - 4 ) )}{5} < 8

What is -1<((4-5x))/3 <= 7 ?
The solution to -1<((4-5x))/3 <= 7 is -17/5 <= x< 7/5