Solve the Compound Inequality Using the Compact Form $- 4 < 5 x - 3 < 4$

question 10

Multiple Choice

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 4 < 5 x - 3 < 4$

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

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Definitions:

Halo Effect

A cognitive bias where one's overall impression of a person influences how we feel and think about their character or properties.

Single Attribute

A single attribute refers to a specific feature, quality, or characteristic of an object, person, or situation that can be identified individually.

Overall Impression

The cumulative perception or judgment formed about something or someone based on various individual attributes, experiences, or interactions.

Fundamental Attribution Error

The tendency to over-emphasize personality traits and underestimate situational factors when explaining another's behavior.