Solve the Inequality for x x/-3-20<-25

$\frac{x}{- 3} - 20 < - 25$

Move the negative in front of the fraction.

$- \frac{x}{3} - 20 < - 25$

Move all terms not containing $x$ to the right side of the inequality.

Add $20$ to both sides of the inequality.

$- \frac{x}{3} < - 25 + 20$

Add $- 25$ and $20$ .

$- \frac{x}{3} < - 5$

Divide each term in $- \frac{x}{3} < - 5$ by $- 1$ and simplify.

Divide each term in $- \frac{x}{3} < - 5$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{x}{3}}{- 1} > \frac{- 5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{x}{3}}{1} > \frac{- 5}{- 1}$

Divide $\frac{x}{3}$ by $1$ .

$\frac{x}{3} > \frac{- 5}{- 1}$

Simplify the right side.

Divide $- 5$ by $- 1$ .

$\frac{x}{3} > 5$

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 > 5 \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{x}{3} \cdot 3 > 5 \cdot 3$

Rewrite the expression.

$x > 5 \cdot 3$

Simplify the right side.

Multiply $5$ by $3$ .

$x > 15$

The result can be shown in multiple forms.

Inequality Form:

$x > 15$

Interval Notation:

$(15, \infty)$

Solve the Inequality for x x/-3-20<-25

Related Questions

Support LCMGCF.com by disabling your adblocker.