Work out absolute value inequality instantly with clear inputs, formula shown and shareable results.
An 'less than' absolute inequality gives a single bounded interval between the two critical values, while a 'greater than' one gives two rays heading outward from them.
Less than
|u| < c ⇒ −c < u < c
Greater than
|u| > c ⇒ u < −c or u > c
−10 < 3x + 1 < 10 gives −11/3 < x < 3.
'Close to a point' is one interval, while 'far from a point' is everything outside it — necessarily two pieces.