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determinati numerele naturale x pentru care fractiile sunt supraunitare

Determinati Numerele Naturale X Pentru Care Fractiile Sunt Supraunitare class=

Răspuns :

7/x >1⇒x<7 , x≠0, x∈{1, 2, 3, 4, 5, 6}
5/x>1⇒ x<5, x≠0, x∈{1, 2, 3, 4}
6/(x+1)>1⇒x+1<6, x<5, x∈{0, 1, 2, 3, 4, 5}
7/(2x+1)>1⇒2x+1<7, 2x<6, x<3, x∈{0, 1, 2}
(5x-7)/3>1⇒5x-7>3, 5x>10, x>5, x∈{6, 7, 8, 9......}
11/(2x+1)>1⇒2x+1<11, 2x<12, x<6, x∈{0, 1, 2, 3, 4, 5}
10/(x+3)>1⇒x+3<10, x<7, x∈{0, 1, 2, 3, 4, 5, 6}
15/(2x+5)>1⇒2x+5<15, 2x<10, x<5, x∈{0, 1, 2, 3, 4}
(x+1)/(2x-1)>1⇒x+1>2x-1, 2>x, x∈{0, 1}
(2x+15)/(5x-3)>1⇒2x+15>5x-3, 18>3x, x<6, x∈{0, 1, 2, 3, 4, 5}
(2x+13)/(5x+1)>1⇒2x+13>5x+1, 12>3x, x<4, x∈{0, 1, 2, 3}
3x/(2x+3)>1⇒3x>2x+3, x>3, x∈{0, 1, 2}