Question

Se considera multimile A = { x apartine de R/x/ < sau = cu 4} si B = { x apartine de R / 1- x-2 supra 2 < sau egal cu 2x-3}

Answer 1

x ≤ 4 ⇒ x∈(-∞ ;4] ⇒ A= (-∞;4]

1- x-2/2 ≤ 2x-3 
2/2 - (x-2)/2 ≤ (4x-6)/2
(2-x+2)/2 ≤ (4x-6)/2
4-x≤ 4x-6
4+6 ≤ 4x+x
10≤ 5x
10:5 ≤ x
2≤x⇒ x≥2⇒ x ∈ [ 2;+∞) ⇒ B= [2;+∞)

A n B = [2;4]