What is -8<= (6x+17)/5 <7 ?

The solution to -8<= (6x+17)/5 <7 is -19/2 <= x<3

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-8<= (6x+17)/5 <7

- 8 \leq \frac{6 x + 17}{5} < 7

- \frac{19}{2} \leq x < 3

Interval Notation

[- \frac{19}{2}, 3)

Decimal Notation

- 9.5 \leq x < 3

Solution steps

- 8 \leq \frac{6 x + 17}{5} < 7

a \leq u < b

then

a \leq u and u < b

- 8 \leq \frac{6 x + 17}{5} and \frac{6 x + 17}{5} < 7

- 8 \leq \frac{6 x + 17}{5} : x \geq - \frac{19}{2}

\frac{6 x + 17}{5} < 7 : x < 3

Combine the intervals

x \geq - \frac{19}{2} and x < 3

Merge Overlapping Intervals

- \frac{19}{2} \leq x < 3

m^{2} + 9 = 0

- 5 \leq 4 x - 1 < 7

9 x^{2} - 6 x + 17 = 0

\frac{2 ( 6 ( 2 ) - 4 )}{2}

\frac{( 3 x ) ^{- 3} y ^{4}}{- x ^{2} y ^{- 6}}