What is -6<= (3x+17)/7 <7 ?

The solution to -6<= (3x+17)/7 <7 is -59/3 <= x< 32/3

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-6<= (3x+17)/7 <7

- 6 \leq \frac{3 x + 17}{7} < 7

- \frac{59}{3} \leq x < \frac{32}{3}

Solution steps

- 6 \leq \frac{3 x + 17}{7} < 7

a \leq u < b

then

a \leq u and u < b

- 6 \leq \frac{3 x + 17}{7} and \frac{3 x + 17}{7} < 7

- 6 \leq \frac{3 x + 17}{7} : x \geq - \frac{59}{3}

\frac{3 x + 17}{7} < 7 : x < \frac{32}{3}

Combine the intervals

x \geq - \frac{59}{3} and x < \frac{32}{3}

Merge Overlapping Intervals

- \frac{59}{3} \leq x < \frac{32}{3}

64 x^{2} + 80 x + 25

x = ln (9)

- 9 x \geq 18

- \frac{4}{- 5}

20 \geq - 3.2 (c - 4.3)

What is -6<= (3x+17)/7 <7 ?
The solution to -6<= (3x+17)/7 <7 is -59/3 <= x< 32/3