Pre-Algebra Examples

$\frac{1}{5} x + 6 > - 3$

Step 1

Combine

$\frac{1}{5}$ and

$x$ .

$\frac{x}{5} + 6 > - 3$

Step 2

Move all terms not containing

$x$ to the right side of the inequality.

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Step 2.1

Subtract

$6$ from both sides of the inequality.

$\frac{x}{5} > - 3 - 6$

Step 2.2

Subtract

$6$ from

$- 3$ .

$\frac{x}{5} > - 9$

$\frac{x}{5} > - 9$

Step 3

Multiply both sides by

$5$ .

$\frac{x}{5} \cdot 5 > - 9 \cdot 5$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of

$5$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{x}{5} \cdot 5 > - 9 \cdot 5$

Step 4.1.1.2

Rewrite the expression.

$x > - 9 \cdot 5$

$x > - 9 \cdot 5$

$x > - 9 \cdot 5$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply

$- 9$ by

$5$ .

$x > - 45$

$x > - 45$

$x > - 45$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x > - 45$

Interval Notation:

$(- 45, \infty)$

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