Solve the Inequality for x -1>(12+x)/4

$- 1 > \frac{12 + x}{4}$

Step 1

Multiply both sides by $4$ .

$- 1 \cdot 4 > \frac{12 + x}{4} \cdot 4$

Step 2

Simplify.

Simplify the left side.

Multiply $- 1$ by $4$ .

$- 4 > \frac{12 + x}{4} \cdot 4$

Simplify the right side.

Simplify $\frac{12 + x}{4} \cdot 4$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$- 4 > \frac{12 + x}{4} \cdot 4$

Rewrite the expression.

$- 4 > 12 + x$

Reorder $12$ and $x$ .

$- 4 > x + 12$

Step 3

Solve for $x$ .

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

$x + 12 < - 4$

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

Subtract $12$ from both sides of the inequality.

$x < - 4 - 12$

Subtract $12$ from $- 4$ .

$x < - 16$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - 16$

Interval Notation:

$(- \infty, - 16)$