What is 3/4 >(5-2x)/6 >-5/3 ?

The solution to 3/4 >(5-2x)/6 >-5/3 is 1/4 <x< 15/2

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3/4 >(5-2x)/6 >-5/3

\frac{3}{4} > \frac{5 - 2 x}{6} > - \frac{5}{3}

\frac{1}{4} < x < \frac{15}{2}

Interval Notation

(\frac{1}{4}, \frac{15}{2})

Decimal Notation

0.25 < x < 7.5

Solution steps

\frac{3}{4} > \frac{5 - 2 x}{6} > - \frac{5}{3}

a > u > b

then

a > u and u > b

\frac{3}{4} > \frac{5 - 2 x}{6} and \frac{5 - 2 x}{6} > - \frac{5}{3}

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

\frac{5 - 2 x}{6} > - \frac{5}{3} : x < \frac{15}{2}

Combine the intervals

x > \frac{1}{4} and x < \frac{15}{2}

Merge Overlapping Intervals

\frac{1}{4} < x < \frac{15}{2}

(y + 3)^{2} = 2 y + 6

2 (6 - x) = 4 x

x^{3} + 4 x^{2} \leq 4 x + 16

2 a^{2} - 13 a - 16 = 8

12 x^{2} - 11 x - 15

What is 3/4 >(5-2x)/6 >-5/3 ?
The solution to 3/4 >(5-2x)/6 >-5/3 is 1/4 <x< 15/2