Solve the Inequality for x y>=4x-5

$y \geq 4 x - 5$

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

$4 x - 5 \leq y$

Add $5$ to both sides of the inequality.

$4 x \leq y + 5$

Divide each term in $4 x \leq y + 5$ by $4$ and simplify.

Divide each term in $4 x \leq y + 5$ by $4$ .

$\frac{4 x}{4} \leq \frac{y}{4} + \frac{5}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} \leq \frac{y}{4} + \frac{5}{4}$

Divide $x$ by $1$ .

$x \leq \frac{y}{4} + \frac{5}{4}$