Solve the Inequality $| 3 x - 4 | < 7$

question 14

Multiple Choice

Solve the inequality.Express the solution set in interval notation. $| 3 x - 4 | < 7$

• A) \(\quad \left( - 1 , \frac { 11 } { 3 } \right)\)
• B) \(\left( - 1 , \frac { 3 } { 11 } \right)\)
• C) \(\quad \left( 1 , \frac { 11 } { 3 } \right)\)
• D) \(( 3,11 )\)
• E) \(\left( - \infty , - \frac { 11 } { 3 } \right) \cup ( - 1 , \infty )\)

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Definitions:

Muscle Contraction

The process where muscle fibers shorten or tense, producing movement or force, often in response to a nerve impulse.

Sodium Ions

Positively charged ions of sodium, vital for cellular processes, including generating electrical signals in neurons.

Potassium Ions

Essential electrolytes in biological systems that play crucial roles in maintaining cell function, including nerve transmission and muscle contraction.

Calcium Ions

Charged particles of calcium that play a vital role in various bodily functions, including muscle contraction and neurotransmitter release in neurons.