Finite Math Examples

$a \cdot b = b \cdot a$

Step 1

Move all terms containing $a$ to the left side of the equation.

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Step 1.1

Subtract $b a$ from both sides of the equation.

$a b - b a = 0$

Step 1.2

Combine the opposite terms in $a b - b a$ .

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Step 1.2.1

Reorder the factors in the terms $a b$ and $- b a$ .

$a b - a b = 0$

Step 1.2.2

Subtract $a b$ from $a b$ .

$0 = 0$

Step 2

Since $0 = 0$ , the equation will always be true.

Always true

Step 3

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$