Question

Where on a number line is the set of numbers x for which:
a)
|x|<1
b)
|x|<5
c)
|x|>3

Answer 1

$a)\\|x| < 1\iff x < 1\ \wedge\ x > -1\\\\b)\\|x| < 5\iff x < 5\ \wedge\ x > -5\\\\c)\\|x| > 3\iff x > 3\ \vee\ x < -3$