Find the Interval(s) for B Such That the Following Equation $x ^ { 2 } + b x + 6 = 0$

Multiple Choice

Find the interval(s) for b such that the following equation has at least one real solution
$x ^ { 2 } + b x + 6 = 0$ .

A) $( - \infty , - \sqrt { 24 } ] \cup [ \sqrt { 24 } , \infty )$
B) $( - \infty , - \sqrt { 24 } ] \cap [ \sqrt { 24 } , \infty )$
C) $( - \infty , \sqrt { 24 } ] \cup ( \sqrt { 24 } , \infty )$
D) $( - \infty , - \sqrt { 24 } ) \cup [ - \sqrt { 24 } , \infty )$
E) $( - \infty , \sqrt { 24 } ] \cap [ \sqrt { 24 } , \infty )$