Solve the Inequality for x -x/24<-1/6

$- \frac{x}{24} < - \frac{1}{6}$

Divide each term in $- \frac{x}{24} < - \frac{1}{6}$ by $- 1$ and simplify.

Divide each term in $- \frac{x}{24} < - \frac{1}{6}$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{x}{24}}{- 1} > \frac{- \frac{1}{6}}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{x}{24}}{1} > \frac{- \frac{1}{6}}{- 1}$

Divide $\frac{x}{24}$ by $1$ .

$\frac{x}{24} > \frac{- \frac{1}{6}}{- 1}$

Simplify the right side.

Dividing two negative values results in a positive value.

$\frac{x}{24} > \frac{\frac{1}{6}}{1}$

Divide $\frac{1}{6}$ by $1$ .

$\frac{x}{24} > \frac{1}{6}$

Multiply both sides by $24$ .

$\frac{x}{24} \cdot 24 > \frac{1}{6} \cdot 24$

Simplify.

Simplify the left side.

Cancel the common factor of $24$ .

Cancel the common factor.

$\frac{x}{24} \cdot 24 > \frac{1}{6} \cdot 24$

Rewrite the expression.

$x > \frac{1}{6} \cdot 24$

Simplify the right side.

Cancel the common factor of $6$ .

Factor $6$ out of $24$ .

$x > \frac{1}{6} \cdot (6 (4))$

Cancel the common factor.

$x > \frac{1}{6} \cdot (6 \cdot 4)$

Rewrite the expression.

$x > 4$

The result can be shown in multiple forms.

Inequality Form:

$x > 4$

Interval Notation:

$(4, \infty)$

Solve the Inequality for x -x/24<-1/6

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