Solve the Inequality for x 1/2x<6

$\frac{1}{2} x < 6$

Step 1

Multiply each term in $\frac{1}{2} x < 6$ by $2$ .

$\frac{1}{2} x \cdot 2 < 6 \cdot 2$

Step 2

Simplify the left side.

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

$\frac{x}{2} \cdot 2 < 6 \cdot 2$

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{x}{2} \cdot 2 < 6 \cdot 2$

Rewrite the expression.

$x < 6 \cdot 2$

Step 3

Simplify the right side.

Multiply $6$ by $2$ .

$x < 12$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 12$

Interval Notation:

$(- \infty, 12)$