Algebra Examples

$- 16 > x \div 2$

Step 1

Multiply both sides by $2$ .

$- 16 \cdot 2 > x \div 2 \cdot 2$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Multiply $- 16$ by $2$ .

$- 32 > x \div 2 \cdot 2$

$- 32 > x \div 2 \cdot 2$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $x \div 2 \cdot 2$ .

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Step 2.2.1.1

Rewrite the division as a fraction.

$- 32 > \frac{x}{2} \cdot 2$

Step 2.2.1.2

Cancel the common factor of $2$ .

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Step 2.2.1.2.1

Cancel the common factor.

$- 32 > \frac{x}{2} \cdot 2$

Step 2.2.1.2.2

Rewrite the expression.

$- 32 > x$

$- 32 > x$

$- 32 > x$

$- 32 > x$

$- 32 > x$

Step 3

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

$x < - 32$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - 32$

Interval Notation:

$(- \infty, - 32)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$