Narutovazm

Example 321 Let R be the relation on the set R real numbers defined by xRy iff x−y is an integer Prove that R is an equivalence relation on R Proof I Reflexive Suppose x ∈ R Then x−x = 0, which is an integer Thus, xRx II Symmetric Suppose x,y ∈ R and xRy Then x − y is an integer Since y −x = −(x−y), y −x isE&E – Escape and Evade;Example One r u t h l e s s n e s s and i n d i f f e r e n c e 161 C r i t i c s who f e e l t h a t G a l l a n t judges her c h a r a c t e r s too h a r s h l y i n c l u d e Herbert Grabes and D a n i e l l e Schaub; Gudangbatu Celery Meaning In Tamil P r e c i s e l y meaning in hindi