Solve the Inequality for x y>-3x+4

$y > - 3 x + 4$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$- 3 x + 4 < y$

Step 2

Subtract $4$ from both sides of the inequality.

$- 3 x < y - 4$

Step 3

Divide each term in $- 3 x < y - 4$ by $- 3$ and simplify.

Divide each term in $- 3 x < y - 4$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} > \frac{y}{- 3} + \frac{- 4}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} > \frac{y}{- 3} + \frac{- 4}{- 3}$

Divide $x$ by $1$ .

$x > \frac{y}{- 3} + \frac{- 4}{- 3}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x > - \frac{y}{3} + \frac{- 4}{- 3}$

Dividing two negative values results in a positive value.

$x > - \frac{y}{3} + \frac{4}{3}$

Solve the Inequality for x y>-3x+4

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