What is -1< 5/9 x+2/3 <= 11/9 ?

The solution to -1< 5/9 x+2/3 <= 11/9 is -3<x<= 1

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-1< 5/9 x+2/3 <= 11/9

- 1 < \frac{5}{9} x + \frac{2}{3} \leq \frac{11}{9}

- 3 < x \leq 1

Solution steps

- 1 < \frac{5}{9} x + \frac{2}{3} \leq \frac{11}{9}

a < u \leq b

then

a < u and u \leq b

- 1 < \frac{5}{9} x + \frac{2}{3} and \frac{5}{9} x + \frac{2}{3} \leq \frac{11}{9}

- 1 < \frac{5}{9} x + \frac{2}{3} : x > - 3

\frac{5}{9} x + \frac{2}{3} \leq \frac{11}{9} : x \leq 1

Combine the intervals

x > - 3 and x \leq 1

Merge Overlapping Intervals

- 3 < x \leq 1

- x^{2} + x + 2

(5 - \frac{9}{2})^{2}

(x + 3) (x - 1) (x - 6) \leq 0

\frac{( k + 1 )}{2} (k + 2) = \frac{1}{6} (k + 3)

0.25 Q + 0.1 (2 Q) + 0.05 (2 Q + 14) = 4

What is -1< 5/9 x+2/3 <= 11/9 ?
The solution to -1< 5/9 x+2/3 <= 11/9 is -3<x<= 1