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\frac{-\frac{5}{6}}{-4}\geq x
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
\frac{-5}{6\left(-4\right)}\geq x
Express \frac{-\frac{5}{6}}{-4} as a single fraction.
\frac{-5}{-24}\geq x
Multiply 6 and -4 to get -24.
\frac{5}{24}\geq x
Fraction \frac{-5}{-24} can be simplified to \frac{5}{24} by removing the negative sign from both the numerator and the denominator.
x\leq \frac{5}{24}
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.