Question

Rezolvati in N inecuatile :
a) x+1<5 b)2x-4 ( mai mic sau egal ) 8 c)3x+1<1

Answer 1

x + 1 < 5

x < 4

x ∈ [0, 4) ∩ N

2x - 4 ≤ 8

2x ≤ 12

x ≤ 6

x ∈ [0, 6] ∩ N

3x + 1 < 1

3x < 0

x < 0

x ∈ (-oo, 0) ∉ N

Answer 2

Răspuns:

Explicație pas cu pas:

a) x+1 < 5 <=> x < 5-1 <=> x<4 => x ∈ {0,1,2,3}

b) 2x-4 ≤ 8 <=> 2x≤8+4 <=> 2x ≤ 12 <=> x≤12:2 <=> x≤6 =>

x∈{0,1,2,3,4,5,6}

c) 3x+1<1 <=> 3x < 1-1 <=> 3x<0 => x<0 => x∈{∅}