Solve the Inequality for y x-2y<2

$x - 2 y < 2$

Subtract $x$ from both sides of the inequality.

$- 2 y < 2 - x$

Divide each term in $- 2 y < 2 - x$ by $- 2$ and simplify.

Divide each term in $- 2 y < 2 - x$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 y}{- 2} > \frac{2}{- 2} + \frac{- x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} > \frac{2}{- 2} + \frac{- x}{- 2}$

Divide $y$ by $1$ .

$y > \frac{2}{- 2} + \frac{- x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $2$ by $- 2$ .

$y > - 1 + \frac{- x}{- 2}$

Dividing two negative values results in a positive value.

$y > - 1 + \frac{x}{2}$

Solve the Inequality for y x-2y<2

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