Question

|10+x|=-10-x sa se calculeze

Answer 1

Cazul 1: 10 + x ≥ 0 ⇔ x ≥ -10
Ecuatia devine
10+x=-10-x
20+2x=0
10+x=0
x= -10

Cazul 2: 10+x < 0 ⇔ x< -10
Ecuatia devine:
-10-x=-10-x Egalitatea este adevarata pentru orice x < -10

Raspuns: x ∈ (-∞, -10]