ANSWER
The correct answer is A
{[tex]x|-5<\:x<\:5[/tex]}
EXPLANATION
[tex]|x|<5[/tex]
This implies that
[tex]x<5\:or\:-x<5[/tex]
We solve the compound inequality to obtain,
[tex]x<5\:or\:x>-5[/tex]
Remember that, dividing through by negative 1 reverses the inequality sign
The solution set is
{[tex]x|-5<\:x<\:5[/tex]}
