Algebra Examples

$\frac{- 11 + n}{15} < - 1$

Step 1

Multiply both sides by $15$ .

$\frac{- 11 + n}{15} \cdot 15 < - 1 \cdot 15$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{- 11 + n}{15} \cdot 15$ .

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Step 2.1.1.1

Cancel the common factor of $15$ .

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Step 2.1.1.1.1

Cancel the common factor.

$\frac{- 11 + n}{15} \cdot 15 < - 1 \cdot 15$

Step 2.1.1.1.2

Rewrite the expression.

$- 11 + n < - 1 \cdot 15$

$- 11 + n < - 1 \cdot 15$

Step 2.1.1.2

Reorder $- 11$ and $n$ .

$n - 11 < - 1 \cdot 15$

$n - 11 < - 1 \cdot 15$

$n - 11 < - 1 \cdot 15$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 1$ by $15$ .

$n - 11 < - 15$

$n - 11 < - 15$

$n - 11 < - 15$

Step 3

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

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Step 3.1

Add $11$ to both sides of the inequality.

$n < - 15 + 11$

Step 3.2

Add $- 15$ and $11$ .

$n < - 4$

$n < - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n < - 4$

Interval Notation:

$(- \infty, - 4)$

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