Z definicji wartości bezwzględnej:
|x| = x dla x ≥ 0
|x| = -x dla x < 0
[tex]a)\\|3| = 3, \ \ \ \ |-3,1| = -(-3,1) = 3,1\\\\|3| < |-3,1|\\\\\\b)\\|2+4| = 6, \ \ \ \ |-2| = -(-2) = 2\\\\|2+4| > |-2|[/tex]
[tex]c)\\|-2\frac{1}{2}| =-(-2\frac{1}{2}) = 2\frac{1}{2}, \ \ \ \ |-1\frac{1}{3}| = -(-1\frac{1}{3}) = 1\frac{1}{3}\\\\|-2\frac{1}{2}| > |-1\frac{1}{3}|[/tex]
[tex]d)\\|-5,78| = -(-5,78) = 5,78, \ \ \ \ |15-7| = 8\\\\|-5,78| < |15-7|\\\\\\e)\\|-3,6| = -(-3,6) = 3,6, \ \ \ \ |3\frac{3}{5}| = 3\frac{3}{5} = 3\frac{3\cdot2}{5\cdot2} = 3\frac{6}{10} = 3,6\\\\|-3,6| = |3\frac{3}{5}|[/tex]
