Solve the Inequality for x -x+y<1

$- x + y < 1$

Step 1

Subtract $y$ from both sides of the inequality.

$- x < 1 - y$

Step 2

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

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

$\frac{- x}{- 1} > \frac{1}{- 1} + \frac{- y}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{1}{- 1} + \frac{- y}{- 1}$

Divide $x$ by $1$ .

$x > \frac{1}{- 1} + \frac{- y}{- 1}$

Simplify the right side.

Simplify each term.

Divide $1$ by $- 1$ .

$x > - 1 + \frac{- y}{- 1}$

Dividing two negative values results in a positive value.

$x > - 1 + \frac{y}{1}$

Divide $y$ by $1$ .

$x > - 1 + y$

Solve the Inequality for x -x+y<1

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