Solve for x -6>x/2-4

$- 6 > \frac{x}{2} - 4$

Step 1

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

$\frac{x}{2} - 4 < - 6$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

Add $4$ to both sides of the inequality.

$\frac{x}{2} < - 6 + 4$

Add $- 6$ and $4$ .

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

Step 3

Multiply both sides by $2$ .

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

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$x < - 2 \cdot 2$

Simplify the right side.

Multiply $- 2$ by $2$ .

$x < - 4$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x < - 4$

Interval Notation:

$(- \infty, - 4)$