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

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

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

- \frac{1}{2} < \frac{4 - 3 s}{5} \leq \frac{1}{4}

\frac{11}{12} \leq s < \frac{13}{6}

Interval Notation

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

Decimal Notation

0.91666 \dots \leq s < 2.16666 \dots

Solution steps

- \frac{1}{2} < \frac{4 - 3 s}{5} \leq \frac{1}{4}

a < u \leq b

then

a < u and u \leq b

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

- \frac{1}{2} < \frac{4 - 3 s}{5} : s < \frac{13}{6}

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

Combine the intervals

s < \frac{13}{6} and s \geq \frac{11}{12}

Merge Overlapping Intervals

\frac{11}{12} \leq s < \frac{13}{6}

4 x - 9 = 7 x + 12

lo g_{5} (3) - lo g_{5} (75)

3 ab - 6 b^{2} - 2 b c + a c

5 x^{2} - 9 x + 3 = 0

ln (0)

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