Question

Arătați că 3/4 < 1/3+1/4+1/5+1/6+1/7+1/8 va rog! ​

Answer 1

Răspuns:

Explicație pas cu pas:

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

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

6/8 - 2/8 - 1/8 < 1/3 + 1/5 + 1/6 + 1/7

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

3/8 < 3/6 + 1/5 + 1/7

3/8 < 1/2 + 1/5 + 1/7

3/8 < 35/70 + 14/70 + 10/70

3/8 < 59/70

3*70 < 8*59

210 < 472 adevarat