Page 2 - Real Number System_Neat
P. 2
Real Number System
Exercise 1.4
1. Evaluate
a) |-2| +4
= 2 +4
= 6
b) |-5 | + |-2| - 3
= 5 + 2 – 3
= 7 – 3
= 4
c) 2 + |-3| - |-5|
= 2 + 3 – 5
= 5 – 5
= 0
d) 3 - |-5||
|
= |3 – 5|
= |-2|
= 2
2. Let (i) = 2, = 3 (ii) = 2, = −3 verify each of the
followings:
a) | + | ≤ | | + | |
i) For = 2 = 3
| + | = |2 + 3| = |5| = 5
and | | + | | = |2| + |3| = 2 + 3 = 5
