Pre-Algebra Examples

$\frac{1}{2} x - 2 > 0$

Step 1

Combine $\frac{1}{2}$ and $x$ .

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

Step 2

Add $2$ to both sides of the inequality.

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

Step 3

Multiply both sides by $2$ .

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

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $2$ .

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Step 4.1.1.1

Cancel the common factor.

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

Step 4.1.1.2

Rewrite the expression.

$x > 2 \cdot 2$

$x > 2 \cdot 2$

$x > 2 \cdot 2$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $2$ by $2$ .

$x > 4$

$x > 4$

$x > 4$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x > 4$

Interval Notation:

$(4, \infty)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$