Solve and Graph the Solution Set on a Number Line $$| 3 x - 3 | + 7 < - 1$$

question 1

Multiple Choice

Solve and graph the solution set on a number line. Express the solution set in both set-builder and interval notations.
- $$| 3 x - 3 | + 7 < - 1$$

• A) \(\varnothing\)
• B) \(\left( - \infty , - \frac { 5 } { 3 } \right)\)
• C) \(\left( - \infty , \frac { 11 } { 3 } \right)\)
• D) \(\left( - \frac { 5 } { 3 } , \frac { 11 } { 3 } \right)\)

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Definitions:

Belmont Report

A foundational document in the ethics of human subjects research, outlining principles such as respect for persons, beneficence, and justice.

Beneficence

A Belmont Report principle that human subjects research should maximize possible benefits and minimize possible harm to participants.

Justice

A Belmont Report principle that the benefits and risks of research should be distributed fairly.

Categorical Imperative

Philosopher Immanuel Kant’s concept that a behavior is valid if one is willing to see it applied as a universal rule.