Solve and write interval notation for the solution set.
-$| x | 5$
A) $( - \infty , - 5 ) \cup ( 5 , \infty )$
B) $( - 5 , \infty )$
C) $( 5 , \infty )$
D) $( - 5,5 )$

Question

Solve and write interval notation for the solution set.
-$| x | > 5$
A) $( - \infty , - 5 ) \cup ( 5 , \infty )$
B) $( - 5 , \infty )$
C) $( 5 , \infty )$
D) $( - 5,5 )$

Quizplus · Accepted Answer

The inequality $| x | > 5$ means that x is more than 5 units away from 0 on the number line, which includes numbers less than -5 and greater than 5, hence the solution is $( - \infty , - 5 ) \cup ( 5 , \infty )$.

Solve and Write Interval Notation for the Solution Set ∣x∣>5| x | > 5∣x∣>5

Solve and Write Interval Notation for the Solution Set $| x | > 5$