Solve the Inequality $| 6 - 5 x | \geq 11$

question 93

Multiple Choice

Solve the inequality. Graph the solution set and write it using interval notation. $| 6 - 5 x | \geq 11$

• A) \(x \in ( - 1 , \infty )\);
• B) \(x \in \left[ - 1 , \frac { 17 } { 5 } \right]\);
• C) \(x \in ( - \infty , - 1 ] \cup \left[ \frac { 17 } { 5 } , \infty \right)\);
• D) \(x \in \left( - \infty , \frac { 17 } { 5 } \right)\);
• E) no solution;

---

Definitions:

Cingulotomy

A neurosurgical procedure that targets the cingulate gyrus to treat certain psychiatric disorders, such as OCD and major depression, by severing connections in the brain.

Troublesome

Causing difficulty or annoyance; often used to describe situations, behaviors, or phenomena that are problematic.

Schizophrenia

A profound mental health issue characterized by deviations in reasoning, interpretation, moods, dialogue, personal identity, and behaviors.

Physical Restraint

The use of mechanical means or physical force to limit a person's freedom of movement, typically in medical or emergency situations.