Solve the Inequality for x 1-x>0

$1 - x > 0$

Step 1

Subtract $1$ from both sides of the inequality.

$- x > - 1$

Step 2

Divide each term in $- x > - 1$ by $- 1$ and simplify.

Divide each term in $- x > - 1$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 1$ by $- 1$ .

$x < 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 1$

Interval Notation:

$(- \infty, 1)$

Solve the Inequality for x 1-x>0

Related Questions

Support LCMGCF.com by disabling your adblocker.