Solve the inequality. Graph the solution set and write it using interval notation. $| x | 11$
A) $x \in ( - \infty , - 11 ) \cup ( 11 , \infty )$;
B) $x \in ( - 11,11 )$;
C) $x \in ( 0,11 )$;
D) $x \in ( - \infty , 11 )$;
E) no solution;

Question

Solve the inequality. Graph the solution set and write it using interval notation. $| x | > 11$
A) $x \in ( - \infty , - 11 ) \cup ( 11 , \infty )$; 
B) $x \in ( - 11,11 )$; 
C) $x \in ( 0,11 )$; 
D) $x \in ( - \infty , 11 )$; 
E) no solution;

Quizplus · Accepted Answer

The inequality $|x|>11$ means that $x$ is either greater than $11$ or less than $-11$. Therefore, the solution set is $x \in (-\infty, -11) \cup (11, \infty)$. This is shown in the graph as two open intervals with gaps at $-11$ and $11$. Therefore, the best choice is (A).

Solve the Inequality ∣x∣>11| x | > 11∣x∣>11 A) x∈(−∞,−11)∪(11,∞)x \in ( - \infty , - 11 ) \cup ( 11 , \infty )x∈(−∞,−11)∪(11,∞)

Solve the Inequality $| x | > 11$ A) $x \in ( - \infty , - 11 ) \cup ( 11 , \infty )$