Algebra Examples

$9 x - 7 i > 3 (3 x - 7 u)$

Step 1

Simplify $3 (3 x - 7 u)$ .

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Step 1.1

Rewrite.

$9 x - 7 i > 0 + 0 + 3 (3 x - 7 u)$

Step 1.2

Simplify by adding zeros.

$9 x - 7 i > 3 (3 x - 7 u)$

Step 1.3

Apply the distributive property.

$9 x - 7 i > 3 (3 x) + 3 (- 7 u)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $3$ by $3$ .

$9 x - 7 i > 9 x + 3 (- 7 u)$

Step 1.4.2

Multiply $- 7$ by $3$ .

$9 x - 7 i > 9 x - 21 u$

$9 x - 7 i > 9 x - 21 u$

$9 x - 7 i > 9 x - 21 u$

Step 2

Move all terms containing $x$ to the left side of the inequality.

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Step 2.1

Subtract $9 x$ from both sides of the inequality.

$9 x - 7 i - 9 x > - 21 u$

Step 2.2

Combine the opposite terms in $9 x - 7 i - 9 x$ .

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Step 2.2.1

Subtract $9 x$ from $9 x$ .

$0 - 7 i > - 21 u$

Step 2.2.2

Subtract $7 i$ from $0$ .

$- 7 i > - 21 u$

$- 7 i > - 21 u$

$- 7 i > - 21 u$

Step 3

The variable $x$ got canceled.

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$

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