Solve the Quadratic Inequality $$( 4 + 3 x ) ^ { 2 } \geq - 9$$

question 101

Multiple Choice

Solve the quadratic inequality. Write the solution set in interval notation.
- $$( 4 + 3 x ) ^ { 2 } \geq - 9$$

• A) \(\left[ - \frac { 7 } { 3 } , - \frac { 1 } { 3 } \right]\)
• B) \(\varnothing\)
• C) \(( - \infty , \infty )\)
• D) \(\left( - \infty , - \frac { 7 } { 3 } \right) \cup \left( - \frac { 1 } { 3 } , \infty \right)\)

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Definitions:

CompareTo

A method in various programming languages that compares two values or objects, returning a numerical value indicating their relative order.

Greater Than Or Equal To

A relational operator that checks if the value on the left side is greater than or equal to the value on the right side.

Evaluates

The process of calculating or determining the value of an expression based on its operands and operations.

Relational Operator

Operators used in programming languages to compare two values, determining their relationship (such as equals, greater than, less than).