Solve -4x<-1/4

$$- 4 x < - \frac { 1 } { 4 }$$

Solve for x

$$x>\frac{1}{16}$$

Solution Steps

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$x>\frac{-\frac{1}{4}}{-4}$$

Express \frac{-\frac{1}{4}}{-4} as a single fraction.

$$x>\frac{-1}{4\left(-4\right)}$$

Multiply 4 and -4 to get -16.

$$x>\frac{-1}{-16}$$

Fraction \frac{-1}{-16} can be simplified to \frac{1}{16} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{1}{16}$$