Solve the Inequality $$0 < | 4 x + 3 | < 7$$

question 88

Multiple Choice

Solve the inequality. Express the solution set in interval notation.
$$0 < | 4 x + 3 | < 7$$

• A) \(\quad \left( - \frac { 5 } { 2 } , - \frac { 3 } { 4 } \right)\)
• B) \(\left( - \frac { 5 } { 2 } , - \frac { 3 } { 4 } \right) \cup \left( - \frac { 3 } { 4 } , 1 \right)\)
• C) \(\left( - \frac { 3 } { 4 } , 1 \right)\)
• D) \(\left( - \infty , - \frac { 3 } { 4 } \right) \cup ( 1 , \infty )\)
• E) \(( - \infty , - 1 ) \cup \left( \frac { 3 } { 4 } , \infty \right)\)

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Definitions:

AGI

Adjusted Gross Income, which is gross income minus adjustments, serving as the basis for calculating taxable income.

Annuity Contract

A financial product sold by an insurance company that provides guaranteed income over a period of time for a flat or periodic payment.

After-tax Dollars

Money that an individual has left over after all income taxes have been deducted, which can then be invested or spent.

Tax-free

Financial gains or receipts that are not subject to tax by authorities, often due to specific exemptions or regulations.