Algebra Examples

$\frac{- 9 + a}{15} > 1$

Step 1

Multiply both sides by $15$ .

$\frac{- 9 + a}{15} \cdot 15 > 1 \cdot 15$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{- 9 + a}{15} \cdot 15$ .

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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.

$\frac{- 9 + a}{15} \cdot 15 > 1 \cdot 15$

Step 2.1.1.1.2

Rewrite the expression.

$- 9 + a > 1 \cdot 15$

$- 9 + a > 1 \cdot 15$

Step 2.1.1.2

Reorder $- 9$ and $a$ .

$a - 9 > 1 \cdot 15$

$a - 9 > 1 \cdot 15$

$a - 9 > 1 \cdot 15$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $15$ by $1$ .

$a - 9 > 15$

$a - 9 > 15$

$a - 9 > 15$

Step 3

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

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Step 3.1

Add $9$ to both sides of the inequality.

$a > 15 + 9$

Step 3.2

Add $15$ and $9$ .

$a > 24$

$a > 24$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$a > 24$

Interval Notation:

$(24, \infty)$

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