Solve -x/5>1/20

$$\frac { - x } { 5 } > \frac { 1 } { 20 }$$

Solve for x

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

Solution Steps

Multiply both sides by 5. Since 5 is positive, the inequality direction remains the same.

$$-x>\frac{1}{20}\times 5$$

Multiply \frac{1}{20} and 5 to get \frac{5}{20}.

$$-x>\frac{5}{20}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

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

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

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

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

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

Multiply 4 and -1 to get -4.

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

Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

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