Algebra Examples

$30 > \frac{1}{2} n$

Step 1

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

$\frac{1}{2} n < 30$

Step 2

Multiply each term in $\frac{1}{2} n < 30$ by $2$ to eliminate the fractions.

Tap for more steps...

Step 2.1

Multiply each term in $\frac{1}{2} n < 30$ by $2$ .

$\frac{1}{2} n \cdot 2 < 30 \cdot 2$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

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

$\frac{n}{2} \cdot 2 < 30 \cdot 2$

Step 2.2.2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.2.1

Cancel the common factor.

$\frac{n}{2} \cdot 2 < 30 \cdot 2$

Step 2.2.2.2

Rewrite the expression.

$n < 30 \cdot 2$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Multiply $30$ by $2$ .

$n < 60$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$n < 60$

Interval Notation:

$(- \infty, 60)$