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}

7 x + 2 = 3 x - 3

6 ∣ x ∣ = 48

x^{2} + 12 x

(\frac{5}{4})^{0} \cdot 2^{- 1}

x^{2} = 8 x - 7

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