Algebra Examples

$2 x - 1 > 0$

Step 1

Add $1$ to both sides of the inequality.

$2 x > 1$

Step 2

Divide each term in $2 x > 1$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x > 1$ by $2$ .

$\frac{2 x}{2} > \frac{1}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} > \frac{1}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x > \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > \frac{1}{2}$

Interval Notation:

$(\frac{1}{2}, \infty)$