What is (-1)/2 <= (4-3x)/5 <= 1/4 ?

The solution to (-1)/2 <= (4-3x)/5 <= 1/4 is 11/12 <= x<= 13/6

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(-1)/2 <= (4-3x)/5 <= 1/4

\frac{- 1}{2} \leq \frac{4 - 3 x}{5} \leq \frac{1}{4}

\frac{11}{12} \leq x \leq \frac{13}{6}

Interval Notation

[\frac{11}{12}, \frac{13}{6}]

Decimal Notation

0.91666 \dots \leq x \leq 2.16666 \dots

Solution steps

\frac{- 1}{2} \leq \frac{4 - 3 x}{5} \leq \frac{1}{4}

a \leq u \leq b

then

a \leq u and u \leq b

\frac{- 1}{2} \leq \frac{4 - 3 x}{5} and \frac{4 - 3 x}{5} \leq \frac{1}{4}

\frac{- 1}{2} \leq \frac{4 - 3 x}{5} : x \leq \frac{13}{6}

\frac{4 - 3 x}{5} \leq \frac{1}{4} : x \geq \frac{11}{12}

Combine the intervals

x \leq \frac{13}{6} and x \geq \frac{11}{12}

Merge Overlapping Intervals

\frac{11}{12} \leq x \leq \frac{13}{6}

10 h + 1 < 5 h - 6

6^{- ∣ x ∣} = \frac{1}{1296}

27.3 \cdot \frac{1}{48.11}

s^{2} + 13 s + 22

x^{2} + 5 x + 6 > 0

What is (-1)/2 <= (4-3x)/5 <= 1/4 ?
The solution to (-1)/2 <= (4-3x)/5 <= 1/4 is 11/12 <= x<= 13/6