Solve and Graph the Solution Set on a Number Line $| 5 x - 4 | - 6 > - 9$

question 37

Multiple Choice

Solve and graph the solution set on a number line. Express the solution set in both set-builder and interval notations.
- $| 5 x - 4 | - 6 > - 9$

• A) \(\varnothing\)
• B) \(\left( \frac { 1 } { 5 } , \frac { 7 } { 5 } \right)\)
• C) \(\left( \frac { 1 } { 5 } , \infty \right)\)
• D) \(( - \infty , \infty )\)

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Definitions:

Health Club

A facility that offers health and fitness services, including exercise equipment, fitness classes, and sometimes additional amenities like pools and spas.

Manufacturing Business

A company that produces goods using labor, equipment, and materials, often on a large scale.

Dressmaking Company

A business specializing in creating custom clothing and alterations.

Service Business

A business that provides intangible products or services to customers, rather than physical goods.