Algebra Examples

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

Step 1

Multiply both sides by $4$ .

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

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $- 1$ by $4$ .

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

Step 2.2

Simplify the right side.

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Step 2.2.1

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

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Step 2.2.1.1

Cancel the common factor of $4$ .

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Step 2.2.1.1.1

Cancel the common factor.

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

Step 2.2.1.1.2

Rewrite the expression.

$- 4 > 12 + x$

Step 2.2.1.2

Reorder $12$ and $x$ .

$- 4 > x + 12$

Step 3

Solve for $x$ .

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Step 3.1

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

$x + 12 < - 4$

Step 3.2

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

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Step 3.2.1

Subtract $12$ from both sides of the inequality.

$x < - 4 - 12$

Step 3.2.2

Subtract $12$ from $- 4$ .

$x < - 16$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - 16$

Interval Notation:

$(- \infty, - 16)$