9
QuizMultiple Choice

Quadratic Inequalities — Quiz

Question 9 • Advanced Algebra: Concepts and Connections

What is the solution set of the quadratic inequality 6 x squared plus 1 is less than or equal to 0 ?

Answer
A
varnothing
B
start set x such that x is in the real numbers end set
C
start set x such that x is equal to negative 1 sixth end set
D
start set x such that x is equal to 1 sixth end set

Explanation

For every real number x, x² is at least 0, so 6x² is also at least 0. Therefore, 6x² + 1 is at least 1 and can never be less than or equal to 0. The solution set is empty, choice A.

AI-written and checked against the verified answer.

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