Solve the Inequality $$| - 9 + 9 x | > 6$$

question 298

Multiple Choice

Solve the inequality. Write the solution set in interval notation.
- $$| - 9 + 9 x | > 6$$

• A) \(\left( - \infty , - \frac { 13 } { 9 } \right) \cup \left( - \frac { 1 } { 9 } , \infty \right)\)
• B) \(\left( - \infty , \frac { 1 } { 3 } \right) \cup \left( \frac { 5 } { 3 } , \infty \right)\)
• C) \(\left( \frac { 1 } { 3 } , \frac { 5 } { 3 } \right)\)
• D) \(\left( \frac { 5 } { 3 } , - \frac { 1 } { 3 } \right)\)

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Definitions:

Flexibility Program

A structured set of exercises designed to enhance the flexibility and range of motion of joints and muscles.

Contract-relax Phase

A technique in stretching and physical therapy where a muscle is first contracted, then relaxed to allow it to stretch further.

Gluteal Stretch

A specific physical exercise aimed at increasing the flexibility and range of motion of the gluteal muscles in the buttocks.

Modified Hurdler's Stretch

A stretching exercise aimed at improving flexibility in the hamstrings and lower back, with one leg extended out and the other bent inward.