What is 5<= 2/9 x+9<= 12 ?

The solution to 5<= 2/9 x+9<= 12 is -18<= x<= 27/2

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5<= 2/9 x+9<= 12

5 \leq \frac{2}{9} x + 9 \leq 12

- 18 \leq x \leq \frac{27}{2}

Interval Notation

[- 18, \frac{27}{2}]

Decimal Notation

- 18 \leq x \leq 13.5

Solution steps

5 \leq \frac{2}{9} x + 9 \leq 12

a \leq u \leq b

then

a \leq u and u \leq b

5 \leq \frac{2}{9} x + 9 and \frac{2}{9} x + 9 \leq 12

5 \leq \frac{2}{9} x + 9 : x \geq - 18

\frac{2}{9} x + 9 \leq 12 : x \leq \frac{27}{2}

Combine the intervals

x \geq - 18 and x \leq \frac{27}{2}

Merge Overlapping Intervals

- 18 \leq x \leq \frac{27}{2}

\frac{1}{x} + x > 2

429

1 x > 1

27 x^{3} - 8

72 a^{3} - 98 a b^{2}