What is -1<= (9-2x)/5 <4 ?

The solution to -1<= (9-2x)/5 <4 is -11/2 <x<= 7

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-1<= (9-2x)/5 <4

- 1 \leq \frac{9 - 2 x}{5} < 4

- \frac{11}{2} < x \leq 7

Interval Notation

(- \frac{11}{2}, 7]

Decimal Notation

- 5.5 < x \leq 7

Solution steps

- 1 \leq \frac{9 - 2 x}{5} < 4

a \leq u < b

then

a \leq u and u < b

- 1 \leq \frac{9 - 2 x}{5} and \frac{9 - 2 x}{5} < 4

- 1 \leq \frac{9 - 2 x}{5} : x \leq 7

\frac{9 - 2 x}{5} < 4 : x > - \frac{11}{2}

Combine the intervals

x \leq 7 and x > - \frac{11}{2}

Merge Overlapping Intervals

- \frac{11}{2} < x \leq 7

\frac{2 π}{\frac{π}{3}}

\frac{u}{6} - 3 = 1

9 + \frac{1}{3} x \geq 4 - \frac{1}{2} x

\frac{1}{2} (8 a - 20) = 2 (a + 6)

2 x - x - 3 - 5 = 2