👤

Aratati ca:3/4<1/3+1/4+1/5+1/6+1/7+1/8<2

Răspuns :

1/3=1/3
1/4<1/3
1/5<1/3
1/6<1/3
1/7<1/3
1/8<1/3
Le adunam
1/3+1/4+1/5+1/6+1/7+1/8<6•1/3
1/3+1/4+1/5+1/6+1/7+1/8<2

1/3>1/8
1/4>1/8
1/5>1/8
1/6>1/8
1/7>1/8
1/8=1/8
Le adunam
1/3+1/4+1/5+1/6+1/7+1/8>6•1/8
1/3+1/4+1/5+1/6+1/7+1/8>3/4

Deci
3/4<1/3+1/4+1/5+1/6+1/7+1/8<2