Solve the Inequality $( 7 x - 1 ) ^ { 7 } ( 7 x - 3 ) ^ { 9 } ( 7 x - 6 ) > 0$

question 15

Multiple Choice

Solve the inequality. Express your answer in interval form. $( 7 x - 1 ) ^ { 7 } ( 7 x - 3 ) ^ { 9 } ( 7 x - 6 ) > 0$

• A) \(\left( \frac { 1 } { 7 } , \frac { 3 } { 7 } \right) \cup \left( \frac { 6 } { 7 } , \infty \right)\)
• B) \(\left( \frac { 6 } { 7 } , \infty \right)\)
• C) \(\left( - \frac { 3 } { 7 } , - \frac { 1 } { 7 } \right) \cup \left( \frac { 6 } { 7 } , \infty \right)\)
• D) \(\left( - \infty , - \frac { 1 } { 7 } \right) \cup \left( \frac { 1 } { 7 } , \frac { 3 } { 7 } \right) \cup \left( \frac { 6 } { 7 } , \infty \right)\)
• E) no solution

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Definitions:

Body-Weight Exercise

Exercises that use the weight of the body as resistance.

Isokinetic Training

A form of strength training using machines that ensure muscle contraction at a constant speed regardless of the force exertion.

Muscle Contraction

The process of muscle fibers shortening or tensing, leading to movement or the exertion of force.

Constant Force

A force that remains the same in magnitude and direction over a period of time when acting on an object.