Solve the Inequality $0 < | 4 x + 7 | < 11$

question 76

Multiple Choice

Solve the inequality.Express the solution set in interval notation. $0 < | 4 x + 7 | < 11$

• A) \(\quad \left( - \frac { 7 } { 4 } , 1 \right)\)
• B) \(\quad \left( - \infty , - \frac { 7 } { 4 } \right) \cup ( 1 , \infty )\)
• C) \(\quad \left( - \frac { 9 } { 2 } , - \frac { 7 } { 4 } \right)\)
• D) \(\quad ( - \infty , - 1 ) \cup \left( \frac { 7 } { 4 } , \infty \right)\)
• E) \(\left( - \frac { 9 } { 2 } , - \frac { 7 } { 4 } \right) \cup \left( - \frac { 7 } { 4 } , 1 \right)\)

---

Definitions:

Concentrated

A market structure described by a small number of firms holding a large market share, which can lead to reduced competition.

HHI

The Herfindahl-Hirschman Index, a measure of market concentration used to determine the competitiveness of an industry.

Conglomerate Mergers

Conglomerate mergers involve companies from unrelated industries combining, aiming for diversification to reduce risk.

Vertical

Pertaining to the organization of a supply chain where a company controls multiple stages of production or distribution.