CK-12 Algebra I Teacher's Edition by CK-12 Foundation

Author:CK-12 Foundation
Language: eng
Format: epub
Publisher: CK12
Published: 2012-05-13T00:00:00+00:00

Solution: As it stands, the equation cannot be interpreted in terms of distance. Rewrite the equation with a minus sign: which can now be interpreted as those numbers away from . Therefore, the solution set is .

b. Solve the equation and interpret the answer.

Hint: As it stands, the equation cannot be interpreted in terms of distance. Rewrite the equation by dividing both sides by :

This last equation can now be interpreted as those numbers away from .

Treat the absolute value as a grouping symbol when appropriate.

The distributive law holds in expressions such as and .

The distributive law does not hold in an expression such as

In general, distribute into absolute value when ; i.e., for positive numbers .

These steps are based on the property .

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