Graph 11-5/2x>0

$11 - \frac{5}{2} x > 0$

Simplify each term.

Combine $x$ and $\frac{5}{2}$ .

$11 - \frac{x \cdot 5}{2} > 0$

Move $5$ to the left of $x$ .

$11 - \frac{5 x}{2} > 0$

Subtract $11$ from both sides of the inequality.

$- \frac{5 x}{2} > - 11$

Divide each term in $- \frac{5 x}{2} > - 11$ by $- 1$ and simplify.

Divide each term in $- \frac{5 x}{2} > - 11$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{5 x}{2}}{- 1} < \frac{- 11}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{5 x}{2}}{1} < \frac{- 11}{- 1}$

Divide $\frac{5 x}{2}$ by $1$ .

$\frac{5 x}{2} < \frac{- 11}{- 1}$

Simplify the right side.

Divide $- 11$ by $- 1$ .

$\frac{5 x}{2} < 11$

Multiply both sides by $2$ .

$\frac{5 x}{2} \cdot 2 < 11 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{5 x}{2} \cdot 2 < 11 \cdot 2$

Rewrite the expression.

$5 x < 11 \cdot 2$

Simplify the right side.

Multiply $11$ by $2$ .

$5 x < 22$

Divide each term in $5 x < 22$ by $5$ and simplify.

Divide each term in $5 x < 22$ by $5$ .

$\frac{5 x}{5} < \frac{22}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} < \frac{22}{5}$

Divide $x$ by $1$ .

$x < \frac{22}{5}$

Graph 11-5/2x>0

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