Question

Rezolvati in multime numerelor naturale inecuatile:
a) 2x+3>11
b) x:4+2<5
c) 4x-6<2

Answer 1

a) 2x>11-3

2x>8

x>8/2

x>4=>x∈{5, 6, 7, 8, ...}

∈) x:4<5-2

x:4<3

x<3*4

x<12=>x∈{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

c) 4x<2+6

4x<8

x<8/4

x<2=>x∈{0, 1}

Answer 2

Răspuns:

Explicație pas cu pas:

a) 2x + 3 > 11 x € N

2x > 11 - 3

2x > 8

x > 8 ÷ 2

x > 4 => S = {5, 6, 7, ...}

b) x ÷ 4 + 2 < 5 x € N

x ÷ 4 < 5 - 2

x ÷ 4 < 3

x < 3 × 4

x < 12 => S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

c) 4x - 6 < 2

4x < 2 + 6

4x < 8

x < 8 ÷ 4

x < 2 => S = {0, 1}

S = Soluții