Solve the Inequality for x 0<5-2x

$0 < 5 - 2 x$

Step 1

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

$5 - 2 x > 0$

Step 2

Subtract $5$ from both sides of the inequality.

$- 2 x > - 5$

Step 3

Divide each term in $- 2 x > - 5$ by $- 2$ and simplify.

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Dividing two negative values results in a positive value.

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

Step 4

The result can be shown in multiple forms.

Inequality Form:

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

Interval Notation:

$(- \infty, \frac{5}{2})$

Solve the Inequality for x 0<5-2x

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